Singular Neumann (p, q)-equations

被引:0
|
作者
Nikolaos S. Papageorgiou
Calogero Vetro
Francesca Vetro
机构
[1] National Technical University,Department of Mathematics
[2] University of Palermo,Department of Mathematics and Computer Science
[3] Ton Duc Thang University,Nonlinear Analysis Research Group
[4] Ton Duc Thang University,Faculty of Mathematics and Statistics
来源
Positivity | 2020年 / 24卷
关键词
Singular term; Resonant nonlinearity; Nonlinear regularity; Truncation and comparison; Nonlinear strong maximum principle; (; -equation; 35J92; 35P30;
D O I
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中图分类号
学科分类号
摘要
We consider a nonlinear parametric Neumann problem driven by the sum of a p-Laplacian and of a q-Laplacian and exhibiting in the reaction the competing effects of a singular term and of a resonant term. Using variational methods together with suitable truncation and comparison techniques, we show that for small values of the parameter the problem has at least two positive smooth solutions.
引用
收藏
页码:1017 / 1040
页数:23
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