Existence and Multiplicity of Solutions for Neumann p-Laplacian-Type Equations

被引：0

作者：

Gasinski, Leszek ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Jagiellonian Univ, Inst Comp Sci, PL-30072 Krakow, Poland

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

ADVANCED NONLINEAR STUDIES | 2008年 / 8卷 / 04期

关键词：

p-Laplacian-type equation; p-superlinear problem; Cerami condition; local linking; second deformation theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider nonlinear Neumann problems driven by p-Laplacian-type operators which are not homogeneous in general. We prove all existence and a multiplicity result for such problems. In the existence theorem, we assume that the right hand side nonlinearity is p-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. In the multiplicity result, when specialized to the case of the p-Laplacian, we allow strong resonance at; infinity and resonance at 0.

引用

页码：843 / 870

页数：28

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