Existence results for the p-Laplacian with nonlinear boundary conditions

被引：119

作者：

Bonder, JF ^{[1
]}

Rossi, JD ^{[1
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 263卷 / 01期

关键词：

p-Laplacian; nonlinear boundary conditions;

D O I：

10.1006/jmaa.2001.7609

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of nontrivial solutions for the problem Delta (p)u = \u \ (p-2)u in a bounded smooth domain Omega subset of R-N, with a nonlinear boundary condition given by \ delu \ (p-2)partial derivativeu/partial derivative nu = f(u) on the boundary of the domain. The proofs are based on variational and topological arguments. (C) 2001 Academic Press.

引用

页码：195 / 223

页数：29

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