NONLINEAR P-LAPLACIAN PROBLEMS ON UNBOUNDED-DOMAINS

被引：64

作者：

YU, LS ^{[1
]}

机构：

[1] UNIV ALBERTA,DEPT MATH,EDMONTON T6G 2G1,ALBERTA,CANADA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 115卷 / 04期

关键词：

P-LAPLACIAN PROBLEMS; DECAYING SOLUTIONS;

D O I：

10.2307/2159352

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the p-Laplacian problem -div(a(x)\ nabla-u\p-2 nabla-u) + b(x)\u\p-2u = f(x, u), x is-an-element-of OMEGA, u\partial derivative OMEGA = 0, [GRAPHICS] where 1 < p < n, OMEGA (subset-of R(n)) is an exterior domain. Under certain conditions, we show the existence of solutions for this problem via critical point theory.

引用

页码：1037 / 1045

页数：9

共 50 条

[21] MULTIGRID METHODS FOR ELLIPTIC PROBLEMS IN UNBOUNDED-DOMAINS
GOLDSTEIN, CI
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1993, 30 (01) : 159 - 183
[22] NONLINEAR INITIAL VALUE PROBLEMS WITH p-LAPLACIAN
Kong, Qingkai
Wang, Xiaofei
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2010, 19 (01): : 33 - 43
[23] ON BOUNDARY-VALUE-PROBLEMS FOR NONLINEAR ELLIPTIC-EQUATIONS ON UNBOUNDED-DOMAINS
SIMON, L
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 1987, 34 (1-2): : 75 - 81
[24] (p, q)- LAPLACIAN PROBLEMS WITH PARAMETERS IN BOUNDED AND UNBOUNDED DOMAINS
El Manouni, Said
Perera, Kanishka
Winkert, Patrick
[J]. HOUSTON JOURNAL OF MATHEMATICS, 2023, 49 (04): : 921 - 937
[25] Local and global estimates for solutions of systems involving the p-Laplacian in unbounded domains
Bechah, A.
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2001,
[26] The Brezis-Nirenberg Problem for Fractional p-Laplacian Systems in Unbounded Domains
Shen, Yansheng
[J]. RESULTS IN MATHEMATICS, 2024, 79 (04)
[27] A p-Laplacian system with resonance and nonlinear boundary conditions on an unbounded domainn
Kandilakis, D. A.
Magiropoulos, M.
[J]. COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2007, 48 (01): : 59 - 68
[28] Limiting dynamics for stochastic delay p-Laplacian equation on unbounded thin domains
Li, Fuzhi
Li, Dingshi
Freitas, Mirelson M.
[J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2024, 18 (02)
[29] Limiting dynamics for stochastic delay p-Laplacian equation on unbounded thin domains
Fuzhi Li
Dingshi Li
Mirelson M. Freitas
[J]. Banach Journal of Mathematical Analysis, 2024, 18
[30] POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC PROBLEMS IN UNBOUNDED-DOMAINS
NOUSSAIR, ES
SWANSON, CA
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 57 (03) : 349 - 372

← 1 2 3 4 5 →