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

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