ON A NEUMANN PROBLEM WITH p-LAPLACIAN AND NONCOERCIVE RESONANT NONLINEARITY

被引：2

作者：

Marano, Salvatore A. ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

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

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2011年 / 253卷 / 01期

关键词：

p-Laplacian; Neumann problem; noncoercive resonant nonlinearity; NON-DIFFERENTIABLE FUNCTIONS; MULTIPLE SOLUTIONS; SPECTRUM;

D O I：

10.2140/pjm.2011.253.103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using variational techniques and Morse theory, we establish three existence results for a Neumann boundary-value problem with p-Laplacian and Caratheodory reaction term, which can be (p-1)-asymptotically linear or sublinear at infinity. The hypotheses taken on permit resonance and make the corresponding energy functional noncoercive.

引用

页码：103 / 123

页数：21

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