01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
20.07.1940
E-mail:
Keywords:
elliptic equations,
nonsmooth domains.
UDC:
517.9, 517.95
Subject:
Elliptic boundary value problems
Main publications:
M. Borsuk, “A priori estimates and solvability of second order quasilinear elliptic equations in a composite domain with nonlinear boundary conditions and conjunction condition.”, Proc. Steklov Inst. of Math., 103 (1970), 13–51
Mikhail Borsuk, Vladimir Kondratiev, Elliptic boundary value problems of second order in piecewise smooth domains, North-Holland Mathematical Libfrary, 69, ELSEVIER, Amsterdam, 2006, 531 pp.
M.V. Borsuk, “Degenerate elliptic boundary-value problems of second order in nonsmooth domains”, Journal of Mathematical Sciences, 146:5 (2007), 6071–6212
Mikhail Borsuk, Transmission Problems for Elliptic Second- Order Equations in Non-Smooth Domains, 1st Edition, A Basel book Series: Frontiers in Mathematics., XII, Birkhaeuser, Basel, 2010, 218 pp.
Ju. Alkhutov, M.V. Borsuk, “The behavior of solutions to the Dirichlet problem for second order elliptic equations with variable nonlinearity exponent in a neighborhood of a conical boundary point”, Journal of Mathematical Sciences, 210:4 (2015), 341–370
M. V. Borsuk, “Second-order degenerate elliptic boundary value problems in nonsmooth domains”, CMFD, 13 (2005), 3–137; Journal of Mathematical Sciences, 146:5 (2007), 6071–6212
M. V. Borsuk, “Dini-continuity of first derivatives of solutions of the Dirichlet problem for second-order linear elliptic equations in a nonsmooth domain”, Sibirsk. Mat. Zh., 39:2 (1998), 261–280; Siberian Math. J., 39:2 (1998), 226–244
M. V. Borsuk, “Behavior of solutions of the Cauchy problem for weakly nonlinear elliptic nondivergence equations in a neighborhood of a conical point of the boundary”, Differ. Uravn., 33:8 (1997), 1085–1094; Differ. Equ., 33:8 (1997), 1092–1101
M. V. Borsuk, “On the solvability of the first value problem for elliptic second order equations in a domain with a conical point on the boundary”, Mat. Fiz. Anal. Geom., 4:4 (1997), 428–452
M. V. Borsuk, “Estimates for generalized solutions of the Dirichlet problem for second-order quasilinear elliptic equations in a domain with a conical boundary point”, Differ. Uravn., 31:6 (1995), 1001–1007; Differ. Equ., 31:6 (1995), 936–941
M. V. Borsuk, “Estimates for the solutions of the Dirichlet problem for second-order elliptic equations in nondivergence form in a neighborhood of a conic point of the boundary”, Differ. Uravn., 30:1 (1994), 104–108; Differ. Equ., 30:1 (1994), 94–99
M. V. Borsuk, “Estimates for solutions of the Dirichlet problem for a second-order quasilinear elliptic equation of nondivergence type near a corner boundary point”, Algebra i Analiz, 3:6 (1991), 85–107; St. Petersburg Math. J., 3:6 (1992), 1281–1302
M. V. Borsuk, “Estimates for solutions of the Dirichlet problem for a
second-order quasilinear elliptic equation of nondivergence type near a
corner point”, Dokl. Akad. Nauk SSSR, 319:6 (1991), 1289–1291; Dokl. Math., 44:1 (1992), 306–308
9.
M. V. Borsuk, “Nonimprovable estimates for solutions of the Dirichlet problem for
second-order linear elliptic equations of nondivergence type in a domain
with a conic point”, Dokl. Akad. Nauk SSSR, 317:4 (1991), 790–792; Dokl. Math., 43:2 (1991), 500–502
10.
M. V. Borsuk, “Best-possible estimates of solutions of the Dirichlet problem for linear elliptic nondivergence equations of second order in a neighborhood of a conical point of the boundary”, Mat. Sb., 182:10 (1991), 1446–1462; Math. USSR-Sb., 74:1 (1993), 185–201
M. V. Borsuk, “Behavior of generalized solutions of the Dirichlet problem for second-order quasilinear elliptic equations of divergence type near a conical point”, Sibirsk. Mat. Zh., 31:6 (1990), 25–38; Siberian Math. J., 31:6 (1990), 891–904
V. A. Kondratiev, M. V. Borsuk, “The behavior of the solution of the Dirichlet problem for a second-order quasilinear elliptic equation near a corner point”, Differ. Uravn., 24:10 (1988), 1778–1784; Differ. Equ., 24:10 (1988), 1185–1190
M. V. Borsuk, “A priori estimates and solvability of second order quasilinear elliptic equations in a composite domain with nonlinear boundary condition and conjugacy condition”, Trudy Mat. Inst. Steklov., 103 (1968), 15–50
M. V. Borsuk, “A priori estimates and solvability of second-order quasilinear elliptic equations in a composite region with nonlinear boundary and conjugacy condition”, Dokl. Akad. Nauk SSSR, 177:5 (1967), 991–994
Full list of publications
