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.

引用

页码：539 / 561

页数：23

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