Positive solutions for nonlinear periodic problems

被引:0
|
作者
Michael E. Filippakis
Nikolaos S. Papageorgiou
Vasile Staicu
机构
[1] National Technical University,Department of Mathematics
[2] Aveiro University,Department of Mathematics
来源
Positivity | 2008年 / 12卷
关键词
Scalar ; -Laplacian; degree theory; (; ); -operator; Picone’s identity; positive solution; 34B15; 34B18; 34C25;
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摘要
We consider a nonlinear periodic problem driven by the scalar p-Laplacian and with a nonsmooth potential. Using the degree map for multivalued perturbations of (S)+-operators and the spectrum of a weighted eigenvalue problem for the scalar periodic p-Laplacian, we prove the existence of a strictly positive solution.
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页码:733 / 750
页数:17
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