TWIN POSITIVE SOLUTIONS FOR RESONANT SINGULAR (p, q)-EQUATIONS

被引:0
|
作者
Onete, Florin-Iulian [1 ]
Papageorgiou, Nikolaos S. [2 ]
Radulescu, Vicentiu D. [1 ,3 ]
机构
[1] Univ Craiova, Dept Math, Craiova 200585, Romania
[2] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece
[3] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland
关键词
Resonance; nonlinear regularity; comparison principle; maximum principle; positive solutions; EXISTENCE; EQUATIONS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a Dirichlet (p, q)-equation with a reaction having the combined effects of a singular term and of a resonant perturbation. Using an auxiliary problem to bypass the singularity and variational tools from critical point theory, with truncation and comparison techniques, we show that the problem has two positive smooth solutions.
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页码:169 / 182
页数:14
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