Infinitely many bounded solutions for the p-Laplacian with nonlinear boundary conditions

被引：0
|
作者：
Francesca Faraci
Antonio Iannizzotto
Csaba Varga
机构：
[1] University of Catania,Department of Mathematics and Computer Sciences
[2] Babeş-Bolyai University,Faculty of Mathematics and Computer Sciences
来源：
Monatshefte für Mathematik | 2011年 / 163卷
关键词：
-Laplacian; Nonlinear boundary conditions; Infinitely many solutions; Critical points; 35J20; 35J65;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
By applying a method due to Saint Raymond, we prove the existence of infinitely many weak solutions for a quasilinear elliptic partial differential equation, involving the p-Laplacian operator, coupled with a nonlinear boundary condition. Our main assumption is a suitable oscillatory behaviour of the nonlinearity either at infinity or at zero.
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收藏
页码：25 / 38
页数：13
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