Existence of solutions for quasilinear elliptic equations with jumping nonlinearities under the Neumann boundary condition

被引：15

作者：

Motreanu, Dumitru ^{[1
]}

Tanaka, Mieko ^{[2
]}

机构：

[1] Univ Perpignan, Dept Math, F-66860 Perpignan, France

[2] Tokyo Univ Sci, Dept Math, Shinjyuku Ku, Tokyo 1628601, Japan

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2012年 / 43卷 / 1-2期

关键词：

P-LAPLACIAN EQUATION; FUCIK TYPE RESONANCE; NONTRIVIAL SOLUTION; MULTIPLICITY; REGULARITY;

D O I：

10.1007/s00526-011-0410-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By variational methods, we prove the existence of a non-trivial solution for the quasilinear elliptic equations with jumping nonlinearities under the Neumann boundary condition. We also provide existence results for positive, negative and non-trivial multiple solutions. The studied equations contain the p-Laplacian problems as a special case.

引用

页码：231 / 264

页数：34

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