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.
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页码：103 / 123
页数：21
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