Positive Solutions for Nonlinear Periodic Problems with the Scalar p-Laplacian

被引：3
|
作者：
Denkowski, Zdzislaw [1 ]
Gasinski, Leszek [1 ]
Papageorgiou, Nikolaos S. [2 ]
机构：
[1] Jagiellonian Univ, Inst Comp Sci, PL-30072 Krakow, Poland
[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
来源：
SET-VALUED ANALYSIS | 2008年 / 16卷 / 5-6期
关键词：
Nonsmooth potential; Scalar p-Laplacian; Generalized subdifferential; Weighted eigenvalue problem; Nonuniform nonresonance; Fixed point index;
D O I：
10.1007/s11228-007-0059-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of positive solutions for a nonlinear periodic problem driven by the scalar p-Laplacian and having a nonsmooth potential. We impose a nonuniform nonresonance condition at +infinity and a uniform nonresonance condition at 0(+). Using degree theoretic argument based on a fixed point index for multifunctions, we prove the existence of a strict positive solution.
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页码：539 / 561
页数：23
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