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
收藏
页码：231 / 264
页数：34
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