List of Publications

Nina N. Uraltseva
Research Articles

[1 ] Regularity of solutions of multidimensional elliptic equations and variational problems, Doklady Akad. Nauk SSSR, 130 (1960), 1206-1209 [Russian]; English transl. in Soviet Math. Dokl., 1 (1960),161-164.
[2 ] A variational problem and quasilinear elliptic equations with many independent variables, Doklady Akad. Nauk SSSR, 135 (1960), 13301333 [Russian]; English transl. in Soviet Math. Dokl., 1 (1960), 1390-1394 (with O.A. Ladyzhenskaya).
[3 ] Quasilinear ellipic equations and variational problems in several independent variables, Uspekhi Math. Nauk, XVI no. 1 (1961), 19-90 [Russian] (with O.A. Ladyzhenskaya).
[4 ] Differential properties of bounded generalized solutions of multidimensional quasilinear elliptic equations and variational problems, Doklady Akad. Nauk SSSR, 138 (1961), 29-32 [Russian] (with O.A. Ladyzhenskaya).
[5 ] Regularity of generalized solutions of quasilinear elliptic equations, Doklady Akad. Nauk SSSR, 140 (1961), 45-47 [Russian] (with O.A. Ladyzhenskaya).
[6 ] On the smoothness of weak solutions of quasilinear equations in several variables and of variational problems, Comm. Pure Appl. Math., XIV (1961), 481-495 (with O.A. Ladyzhenskaya).
[7 ] A boundary value problem for linear and quasilinear parabolic equations Doklady Akad. Nauk SSSR, 139 (1961), 544-547 [Russian] (with O.A. Ladyzhenskaya).
[8 ] A boundary value problem for linear and quasilinear parabolic equations. I, Izvestiya Akad. Nauk SSSR, 26 (1962), 5-52 [Russian]; English transl. in AMS Transl. (2) 47 (1965), 217-267 (with O.A. Ladyzhenskaya).
[9 ] A boundary value problem for linear and quasilinear parabolic equations. II, Izvestiya Akad. Nauk SSSR, 26 (1962), 753-780 [Russian]; English transl. in AMS Transl. (2) 47 (1965), 268-298 (with O.A. Ladyzhenskaya).
[10 ] Quasilinear elliptic equations and variational problems, Trudy IY Vsesoyusn. Matem. S'ezda, (1962) [Russian] (with A.G.Sigalov and V .L Plotnikov) .
[11 ] General second-order quasilinear equations and certain classes of systems of equations of elliptic type, Doklady Akad. Nauk SSSR, 146 (1962), 778-781 [Russian].
[12 ] The first boundary value problem for quasilinear second order parabolic equations of general type, Doklady Akad. Nauk SSSR, 147 (1962), 2830 [Russian] (with O.A. Ladyzhenskaya).
[13 ] Boundary value problems for quasilinear elliptic equations and systems with principal part of divergence type, Doklady Akad. Nauk SSSR, 147 (1962), 313-316 [Russian].
[14 ] Admissible extensions of the concept of solution for linear and quasilinear elliptic equations of second order, Vestnik Leningrad. Univ. Ser. Mat. Meh. Astronom., 18, no. 1 (1963), 10-25 [Russian] (with O.A. Ladyzhenskaya).
[15 ] The first boundary value problem for linear and quasilinear equations and systems of parabolic type, Izvestiya Akad. Nauk SSSR, 27 (1963) [Russian]; English transl. in AMS Transl. (2) 56 (1966), 103-192 (with O.A. Ladyzhenskaya).
[16 ] On linear and quasilinear equations and systems of elliptic and parabolic type, Outlines Joint Sympos. Partial Differential Equations, Novosibirsk (1963), 146-150 (with O.A.Ladyzhenskaya).
[17 ] Holder continuity of solutions and their derivatives for linear and quasilinear equations of elliptic and parabolic type, Doklady Akad. Nauk SSSR, 155 (1964), 1258-1261 [Russian] (with O.A. Ladyzhenskaya).
[18 ] On the Holder continuity of the solutions and the derivatives for linear and quasilinear equations of elliptic and parabolic types, Trudy Matem. Inst. Steklov. 73 (1964),172-220 [Russian]; English transl. in AMS Transl. (2) 61 (1967), 207-269 (with O.A. Ladyzhenskaya).
[19 ] Classical solvability of diffraction problems for equations of elliptic and parabolic types, Doklady Akad. Nauk SSSR, 158 (1964), 513-515 [Russian] (with O.A. Ladyzhenskaya).
[20 ] On classical solvability of diffraction problems, Trudy Matem. Inst. Steklov. 92 (1966) [Russian] (with O.A. Ladyzhenskaya and V.Ja. Rivkind).
[21 ] Certain properties of generalized solutions of parabolic equations of the second order, Doklady Akad. Nauk SSSR, 168 (1966), 17-20 [Russian] (with O.A. Ladyzhenskaya, A.V. Ivanov and A.L. Treskunov).
[22 ] Generalized solutions of parabolic equations of second order, Trudy Matem. Inst. Steklov. 92 (1966), 57-92 [Russian] (with O.A. Ladyzhenskaya, A.V. Ivanov and A.L. Treskunov).
[23 ] On nonlinear boundary value problems for quasilinear and parabolic equations, Abstracts of Int. Congr. Math., Moscow (1966).
[24 ] Investigation of smoothness with respect to t of weak solutions of equations of parabolic type, Vestnik Leningrad. Univ. Ser. Mat. Meh. Astronom., 22, no. 7 (1967), 54-63 [Russian] (with O.A. Ladyzhenskaya).
[25 ] Certain classes of nonuniformly elliptic equations, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 5 (1967), 186-191 [Russian] (with O.A. Ladyzhenskaya).
[26 ] The impossibility of W12-estimates for multidimensional elliptic equations with discontinuous coefficients, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 5 (1967), 250-254 [Russian].
[27 ] Degenerate quasilinear elliptic systems, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 7 (1968), 184-222 [Russian].
[28 ] Certain classes of nonuniformly elliptic equations, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 11 (1968), 129-149 [Russian] (with O.A. Ladyzhenskaya).
[29] Total estimates of the first derivatives with respect to x of the solutions of quasilinear elliptic and parabolic equations, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 14 (1969), 127-155 [Russian] (with O.A. Ladyzhenskaya).
[30 ] The nonselfadjointness in L_2(R^n) of an elliptic operator with rapidly increasing coefficients, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 14 (1969), 288-294 [Russian].
[31 ] A priori estimates for quasilinear parabolic equations with discontinuous coefficients and their application in approximation methods, Doklady Akad. Nauk SSSR, 185 (1969), 271-274 [Russian] (with V.Ja. Rivkind).
[32 ] The solvability of diffraction problems for quasilinear parabolic equations, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 14 (1969), 191-199 [Russian] (with V.Ja. Rivkind).
[33 ] Local estimates for gradients of solutions of nonuniformly elliptic and parabolic equations, Comm. Pure Appl. Math., 23 (1970), 677-703 (with O.A. Ladyzhenskaya).
[34 ] Nonlinear boundary value problems for the equations of minimal surface type, Trudy Mat. Inst. Steklov., 116 (1971), 217-226 [Russian].
[35 ] On the nonuniformly quasilinear elliptic equations, Actes du Congres International des Mathematiciens (Nice, 1970), Tome 2, GauthierVillars, Paris, (1971), 885-891.
[36 ] The regularity of the solutions of variational inequalities, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 27 (1972), 211-219 [Russian]; English transl. in J. Soviet Math. 3, no. 4 (1975), 565-574.
[37 ] Classical solvability and linear schemes for the approximate solution of diffraction problems for quasilinear equations of parabolic and of elliptic type, Problems of mathematical analysis, no. 3 (1972); 69-111 [Russian]; English transl. in J. Soviet Math. 2, no. 1 (1973), 235-264 (with V.Ja. Rivkind).
[38 ] Projection difference schemes for quasilinear elliptic and parabolic equations, Vestnik Leningrad. Univ. Ser. Mat. Meh. Astronom., 19, no. 4 (1972), 66-69 [Russian] (with V.Ja. Rivkind).
[39 ] The solvability of the capillarity problem, Vestnik Leningrad. Univ. Ser. Mat. Meh. Astronom., 19, no. 4 (1973), 54-64 [Russian].
[40 ] The solvability of the capillarity problem II, Vestnik Leningrad. Univ. Ser. Mat. Meh. Astronom., 1, no. 1 (1975), 143-149 [Russian].
[41 ] A problem with one-sided conditions on the boundary for a quasilinear elliptic equation, Problems in mathematical analysis, no. 6 (1977); 172189 [Russian]
[42 ] Capillarity problems, Proc. of the National Conf. on Partial Differential Equations, Moscow (1978).
[43 ] Existence of strong solutions for quasilinear parabolic equations with unilateral conditions on the boundary of the domain, Vestnik Leningrad. Univ. Ser. Mat. Meh. Astronom., 13, no. 3 (1977), 89-98 [Russian].
[44 ] Strong solutions of the generalized Signorini problem, Uspekhi Mat. Nauk, 33, no. 4 (1978) [Russian].
[45 ] Strong solutions of the generalized Signorini problem, Sibirsk. Mat. Zh., 19, no. 5 (1978), 1204-1212 [Russian].
[46 ] The estimates of Holder norm for solutions of quasilinear elliptic equations of general type, Uspekhi Mat. Nauk, 35, no. 4 (1980) [Russian] (with O.A. Ladyzhenskaya).
[47 ] Estimate of the Holder norm of solutions of second-order elliptic equations of general form, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 96 (1980), 161-168 [Russian]; English transl. in J. Soviet Math. 21, no. 5 (1980), 762-769 (with O.A. Ladyzhenskaya).
[48 ] Generalized derivatives and Sobolev spaces, Izbr. glavy analysa i algebry, Leningrad Univ. Math. (1981) [Russian] (with V.A. Solonnikov).
[49 ] The estimates of Holder norm for solutions of quasilinear parabolic equations of general type, Uspekhi Mat. Nauk, 36, no. 4 (1981) [Russian] (with O.A. Ladyzhenskaya).
[50 ] The estimates of Holder norm for solutions of quasilinear parabolic equations in nondivergent form, LOMI preprint E-H-81, L, (1981) (with O.A. Ladyzhenskaya).
[51 ] Estimates of the maximum moduli of gradients for solutions of capillarity problems, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 115 (1982), 274-284 [Russian]; English transl. in J. Soviet Math. 28, no. 5 (1985), 806-815.
[52 ] Estimates of the Holder constant for bounded solutions of second-order quasilinear parabolic equations of nondivergent type, Partial differential equations and problems with a free boundary, Naukova Dumka, Kiev (1983), 73-75 [Russian] (with O.A. Ladyzhenskaya).
[53 ] Boundedness of gradients of generalized solutions for degenerate nonuniformly elliptic quasilinear equations, Vestnik Leningrad. Univ. Ser. Mat. Meh. Astronom., 16, no. 4 (1983), 263-270 [Russian] (with A.B. Urdaletova).
[54 ] On the smoothness of solutions of variational inequalities, Uspekhi Mat. Nauk, 38, no. 5 (1983) [Russian]
[55 ] Estimates of max $|u_x|$ for solutions of quasilinear elliptic and parabolic equations of general type, and some existence theorems, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 138 (1984), 90-107 [Russian]; English transl. in J. Soviet Math. 32, no. 5 (1986), 486-499 (with O.A. Ladyzhenskaya).
[56 ] Estimates of the Holder constants for functions satisfying a uniformly elliptic or uniformly parabolic inequalities with unbounded coefficients, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 147 (1985), 72-94 [Russian]; English transl. in J. Soviet Math. 37, no. 1 (1987), 837-851 (with O.A. Ladyzhenskaya).
[57 ] Solvability of the first boundary value problem for quasilinear elliptic and parabolic equations in the presence of singularities, Dokl. Akad. Nauk SSSR, 281, no. 2 (1985), 275-279 [Russian] (with O.A. Ladyzhenskaya).
[58 ] The boundary gradient estimates for the solutions of quasilinear elliptic and parabolic equations, LOMI preprint P-1-85, L, (1985) (with O.A. Ladyzhenskaya).
[59 ] The estimates of boundary Holder norm for solutions of elliptic and parabolic equations, Uspekhi Mat. Nauk, 40, no. 5 (1985) [Russian] (with O.A. Ladyzhenskaya).
[60 ] Convex-monotone hulls and an estimate of the maximum of the solution of a parabolic equation, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 147 (1985), 95-109 [Russian]; English transl. in J. Soviet Math. 37, no. 1 (1987), 851-860 (with A.I. Nazarov).
[61 ] Holder continuity of gradients of solutions of parabolic equations with boundary conditions of Signorini type, Dokl. Akad. Nauk SSSR, 280, no. 3 (1985), 563-565 [Russian].
[62 ] A problem with one-sided constraints on the interface of two domains, Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 8, vyp. 2 (1985), 36-42 [Russian] (with I.V. Denisova).
[63 ] A survey of results on the solvability of boundary value problems for uniformly elliptic and parabolic second-order quasilinear equations having unbounded singularities, Uspekhi Mat. Nauk, 41, no. 5 (1986), 59-83 [Russian] (with O.A. Ladyzhenskaya).
[64 ] Estimation on the boundary of the domain of derivatives of solutions of variational inequalities, Probl. Mat. Anal., no. 10 (1986), 92-105 [Russian]; English transl. in J. Soviet Math. 45, no. 3 (1989), 11811191.
[65 ] Regularity of the solution of a problem with a two-sided constraint on the boundary, Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1, vyp. 1 (1986), 3-10 [Russian] (with A.A. Arkhipova).
[66 ] Regularity of solutions of diagonal elliptic systems under convex constraints on the boundary of the domain, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 152 (1986), 5-17 [Russian]; English transl. in J. Soviet Math. 40, no. 5 (1988), 591-598 (with A. A. Arkhipova).
[67 ] Estimates of Holder constants for solutions of parabolic equations, Science and Computer. Acad. Press., Advances in Math Supp. Studies, 10 (1986) (with O.A. Ladyzhenskaya).
[68 ] Regularity theorems for variational inequalities and one-sided problems, Partial differential equations, Novosibirsk, Nauka (1986), 187-192 [Russian] (with T.N. Rozhkovskaya).
[69 ] Regularity of the solutions of variational inequalities with convex constraints on the boundary of the domain for nonlinear operators with a diagonal principal part, Vestnik Leningrad. Univ. Mat. Mekh. Astronom., vyp. 3 (1987), 13-19 [Russian] (with A.A. Arkhipova).
[70 ] The problem with convex boundary constraints, Uspekhi Mat. Nauk, 42, no. 4 (1987) [Russian] (with A.A. Arkhipova).
[71 ] Limit smoothness of the solutions of variational inequalities under convex constraints on the boundary of the domain, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 163 (1987), 5-16 [Russian]; English transl. in J. Soviet Math. 49, no. 5 (1990), 11211128 (with A.A. Arkhipova).
[72 ] Regularity of the solution of a problem with a two-sided limit on a boundary for elliptic and parabolic equations, Trudy Mat. Inst. Steklov., 179 (1988), 5-22 [Russian]; English transl. in Proc. Steklov Inst. Math., no. 2 (1989), 1-19 (with A.A. Arkhipova).
[73 ] Estimates on the boundary of the domain of first derivatives of functions satisfying an elliptic or a parabolic inequality, Trudy Mat. Inst. Steklov., 179 (1988), 102-125 [Russian]; English transl. in Proc. Steklov Inst. Math., no. 2 (1989), 109-135 (with O.A. Ladyzhenskaya).
[74 ] A Lipschitz estimate at the boundary points for the solutions of quasilinear equations of divergence form, Sibirsk. Mat. Zh., 28, no. 4 (1987), 145-153 [Russian] (with O.A. Ladyzhenskaya).
[75 ] On the regularity of solutions of variational inequalities, Uspekhi Mat. Nauk, 42, no. 6 (1987), 151-174 [Russian]; English transl. in Russian Math. Surveys, 42, no. 6 (1987), 191-219.
[76 ] Estimates of derivatives of solutions of elliptic and parabolic inequalities, Proc. Int. Congr. Math., AMS (1987), pp. 1143-1149.
[77 ] A nonlinear boundary value problem for elliptic equations of general form, Partial differential equations, Novosibirsk, Nauka (1987), 95-112 [Russian] (with K.S. Tulenbaev).
[78 ] Gradient estimates for solutions of nonlinear parabolic oblique boundary problems, Preprint CMA-R64-89, Canberra (1989), 1-20.
[79 ] On the existence of smooth solutions, for parabolic systems, of problems with convex constraints on the boundary of the domain, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 171 (1989), 5-11 [Russian]; English transl. in J. Soviet Math. 56, no. 2 (1990), 2281-2285 (with A.A. Arkhipova).
[80 ] A nonlinear problem with an oblique derivative for parabolic equations, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 188 (1991), 143-158 [Russian]; English transl. in J. Soviet Math. 70, no. 3 (1994), 1817-1827.
[81 ] Gradient estimates for solutions of nonlinear parabolic oblique boundary problem, Contemp. Math., 127 (1992), 119-130.
[82 ] A problem with an oblique derivative for a quasilinear parabolic equation, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 200 (1992), 118-131 [Russian]; English transl. in J. Soviet Math. 77, no. 3 (1995), 3212-3220 (with A.I. Nazarov).
[83 ] Evolution of nonparametric surface with speed depending on curvature. II: The mean curvature case, Comm. Pure Appl. Math., 46, no. 1 (1993), 97-135 (with V.I. Oliker).
[84 ] Evolution of nonparametric surfaces with speed depending on curvature. III: Some remarks on mean curvature and anisotropic flows, IMA Vol. Math. Appl., 47, Springer-Verlag, New York (1993), 141-156 (with V.I. Oliker).
[85 ] Boundary regularity for flows of nonparametric surfaces driven by mean curvature, Motion by mean curvature, Proc. Inter. Conf. at Trento, W. de Gruter, 1994, 198-209.
[86 ] Local estimates for the gradients of solutions to the simplest regularization of a class of nonuniformly elliptic equations, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 213 (1994), 75-92 [Russian]; English transl. in J. Math. Sci., 84, no. 1(1997), 862-872 with O.A. Ladyzhenskaya).
[87 ] Surfaces with inclination-dependent mean curvature, Algebra i Analis, 6, no. 3 (1994), 231-241 [Russian]; English transl. in St. Petersburg Math J., 6, no. 3 (1995), 665-674.
[88 ] Long time behavior of flows moving by mean curvature, Amer. Math. Soc. Transl. Ser. 2, 164 (1995), 163-170 (with V.I. Oliker).
[89 ] On the behaviour of the free boundary near the boundary of the domain, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 221 (1995), 5-19 [Russian]; English transl. in J. Math. Sci., 87, no. 2 (1997), 3267-3276 (with D.E. Apushkinskaya).
[90 ) Sharp estimates for solutions of a parabolic Signorini problem, Math. Nachr., 177 (1996), 11-29 (with A.A. Arkhipova).
[91 ] C1 regularity of the boundary of a noncoincidence set in a problem with an obstacle, Algebra i Analiz, 8, no. 2 (1996), 205-221 [Russian]; English transl. in St. Petersburg Math. J., 8, no. 2 (1997), 341-353.
[92 ] Long time behavior of flows moving by mean curvature. II, Topol. Methods Nonlinear Anal., 9, no. 1 (1997), 17-28 (with V.I. Oliker).
[93 ] On the properties of a free boundary in a neighborhood of the points of contact with the known boundary, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 249 (1997), 303-312 [Russian]; English transl. in J. Math. Sci., 101, no. 5 (2000), 3570-3576.
[94 ] On the contact of a free boundary with a given boundary, Mat. Sb., 191, no. 2 (2000), 165-173 [Russian].
[95 ] Boundary estimates for solutions of a parabolic free boundary problem, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 271 (2000), 39-55 [Russian]; English transl. in J. Math. Sci., 115, no. 6 (2003), 2720-2730 (with D.E. Apushkinskaya and H. Shahgholian)
[96 ] Two-phase obstacle problem, Probl. Mat. Anal. vyp. 22 (2001), 240-245 [Russian]; English transl. in J. Math.Sci., 106, no. 3 (2001), 3073-3078.
[97 ] Regularity properties of a free boundary near contact points with the fixed boundary, Duke Math. J., 116, no .l (2003), 1-34 (with H. Shahgholian).
[98 ] On global solutions of a parabolic problem with an obstacle, Algebra i Analiz, 14, no. 1 (2002), 3-25 [Russian]; English transl. in St.Petersburg Math. J., 14, no. 1 (2003), 1-17 (with D.E. Apushkinskaya and H. Shahgholian).
[99 ] On the Lipschitz regularity of the free boundary in a parabolic problem with an obstacle, Algebra i Analiz, 15, no. 3 (2003), 78-103 [Russian]; English transl. in St.Petersburg Math. J., 15, no. 3 (2004), 375-391
(with D.E. Apushkinskaya and H. Shahgholian).
[100 ] Global solutions of an obstacle-problem-like equation with two phases, Monatsh. Math., 142, no. 1-2 (2004), 27-34 (with H. Shahgholian and G.S.Weiss).
[101] Граничные оценки решений двуфазной задачи с препятствием, ПМА, 34 (2006), 3-9 (with D.E.Apushkinskaya)
[102] Regularity of a free boundary in parabolic problem without sign restriction, Preprint n 187, Univ. Saarland (2006) (with D.E.Apushkinskaya and N.Matevosyan)
[103] Boundary estimates for solutions of two-phase obstacle problems, Probl. Mat. Anal., 34 (2006), 3-11 [Russian]; English transl. in J. Math. Sciences, 142 (2007), no.1, 1723-1732. (with D.E. Apushkinskaya)
[104] The two-phase membrane problem-regularity of the free boundaries in higher dimensions, Int. Mat. Res. Not. IMRN, no.8, (2007), 16pp. (with H. Shahgholian and G.S. Weiss)
[105] Boundary estimates for solutions of elliptic and parabolic equations with discontinuous nonlinearities, AMS Translations (2), 220 (2007), 235-246.
[106] Boundary estimates for solutions to the two-phase parabolic obstacle problem, Probl. Mat. Anal., 38 (2008), 3-9 [Russian]; English transl. in J. Math. Sciences, 156 (2009), no.4, 569-576.(with D.E. Apushkinskaya)
[107] The behavior of the free boundary close to a fixed boundary in a parabolic problem, Indiana Univ. Math. J. 58 (2009), no. 2, 583-604. (with D.E. Apushkinskaya and N. Matevosyan)
[108] A parabolic two-phase obstacle-like equation, Adv. Math., 221, no.3 (2009), 861-881. (with H. Shahgholian and G.S. Weiss)
[109] Qualitative properties of solutions to elliptic and parabolic equations with unbounded lower-order coefficients, Preprints
of the St. Petersburg Mathematical Society, No.05 (2009), p.1-6. (with A.I. Nazarov)
[110] The Harnack inequality and related properties of solutions to elliptic and parabolic equations with divergence-free lower order coefficients. // Algebra i Analiz, 23, no. 1 (2011), 136-168 [Russian] (with A.I. Nazarov)

Books
[1*] Linear and Quasilinear Equations of Elliptic Type, Nauka, Moscow, 1964; English transl., Academic Press, New York, 1968, 495 pp.; French. transl., Dunod, Paris, 1969 (with O.A. Ladyzhenskaya).
[2*] Linear and Quasilinear Elliptic Equations, 2-nd updated and expanded edition., Nauka, Moscow 1973 (with O.A. Ladyzhenskaya).
[3*] Linear and Quasilinear Equations of Parabolic Type, Nauka, Moscow, 1967; English Transl., American Mathematical Society, Providence, R.I. 1968, Second edition, 1988, 648 pp. (with O.A. Ladyzhenskaya and V.A. Solonnikov).
[4*] Н.Н.Уральцева, В.А.Солонников. Пространства Соболева. В кн.: Избранные главы анализа и высшей алгебры. Л.: ЛГУ, 1981.