Nonlinear singular problems with indefinite potential and a Superlinear perturbation

被引：3
|
作者：
Papageorgiou, Nikolaos S. [1 ]
Zhang, Chao [2 ,3 ]
机构：
[1] Natl Tech Univ Athens, Dept Math, Athens, Greece
[2] Harbin Inst Technol, Sch Math, Harbin, Peoples R China
[3] Harbin Inst Technol, Inst Adv Study Math, Harbin, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2021年 / 66卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Indefinite potential; singular term; comparison principle; nonlinear regularity; nonlinear maximum principle; positive solutions; EQUATIONS;
D O I：
10.1080/17476933.2020.1788004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a parametric nonlinear Dirichlet problem driven by the p-Laplacian plus an indefinite potential. In the reaction, we have the competing effects of a parametric singular term and of a super-linear perturbation. We examine the nonexistence, existence and multiplicity of positive solutions as the parameter lambda > 0 varies.
引用
收藏
页码：1881 / 1903
页数：23
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