Asymptotic Symmetry for a Class of Quasi-Linear Parabolic Problems
Tóm tắt
Từ khóa
Tài liệu tham khảo
Canino, 1994, Nonsmooth critical point theory and quasilinear elliptic equations Topological Methods in Differential Equations and Inclusions Montreal PQ NATO Kluwer Publ Dordrecht, Adv Sci Inst Ser Math Phys Sci Acad, 1
Damascelli, 2004, monotonicity and symmetry of positive solu - tions of m - Laplace equations, Differential Equations, 206
Gidas, 1979, and Symmetry and related properties via the maximum principle Asymptotic stability and blowing up of solutions of some nonlinear equations Differential Equations, Math Phys, 68, 209, 10.1007/BF01221125
Tsutsumi, 1972, Existence and nonexistence of global solutions for nonlinear parabolic equations, Res Inst Math Sci, 8, 211, 10.2977/prims/1195193108
Pucci, 1999, A strong maximum principle and a compact support principle for singular elliptic inequalities Pures, Math Appl, 78, 769
Damascelli, 1998, Monotonicity and symmetry of solutions of p - Laplace equations via the moving plane method Scuola Pisa, Norm Sup Sci, 26, 689
Bensoussan, 1988, On a nonlinear partial differential equation having natural growth terms and unbounded solution Poincare Non Line aire, Inst Anal, 5, 347
Damascelli, 1998, Comparison theorems for some quasilinear degenerate elliptic opera - tors and applications to symmetry and monotonicity results Analyse non line aire, Inst Poincare, 15, 493
Serrin, 1971, A symmetry problem in potential theory Arch Rational Anal, Mech, 43, 304
Di Benedetto, 1993, Degenerate Parabolic Equations Springer Verlag New York xvi pp, Universitext, 387
Alikakos, 1983, Continuity of the gradient for weak solutions of a degenerate parabolic equation Pures, Math Appl, 62, 253
Simondon, 2002, Pola cˇik Nonconvergent bounded solutions of semilinear heat equa - tions on arbitrary domains, Differential Equations, 186
Berestycki, 1991, On the method of moving planes and the sliding method Bulletin de Mat Nova Ser, Soc Brasil, 22, 1, 10.1007/BF01244896
Squassina, 2000, Weak solutions to general Euler s equations via nonsmooth critical point theory Toulouse, Sci Math, 9, 113
Jendoubi, 1998, A simple unified approach to some convergence theorems of, Funct Anal, 153
Quittner, 1999, A priori bounds for global solutions of a semi - linear parabolic problem Acta, Math Univ Comenian, 195
Lieberman, 1988, Boundary regularity for solutions of degenerate elliptic equations Nonlinear, Anal, 12, 1203
Di Benedetto, 1983, α local regularity of weak solutions of degenerate elliptic equa - tions Nonlinear, Anal, 7, 827
Lieberman, 1993, Study of Global Solutions of Parabolic Equations via a Priori Es - timates III Equations of p - Laplacian type Singularities and Differential Equations Banach Center Polish Warsaw, Publ Acad Sci, 199
Quittner, 2003, Continuity of the blow - up time and a priori bounds for solutions in superlinear parabolic problems Houston, J Math, 29, 757
Erbe, 1997, Uniqueness theorems for positive radial solutions of quasilinear elliptic equations in a ball, Differential Equations, 138
