Existence of solution for a class of integro-differential sublinear problems with strong singularity

被引：0
|
作者：
dos Santos, Gelson C. G. [1 ]
Lima, Natan de Assis [2 ]
de Lima, Romildo N. [3 ]
机构：
[1] Univ Fed Para, Fac Matemat, BR-66075110 Belem, PA, Brazil
[2] Univ Estadual Paraiba, Ctr Ciencias Humanas & Exatas, BR-58500000 Monteiro, PB, Brazil
[3] Univ Fed Campina Grande, Unidade Academ Matemat, Campina Grande, PB, Brazil
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2023年 / 74卷 / 05期
关键词：
Variational methods applied to PDE's; DIRICHLET PROBLEM; POSITIVE SOLUTIONS; ELLIPTIC-EQUATIONS; MULTIPLICITY; BOUNDARY; NONLINEARITIES;
D O I：
10.1007/s00033-023-02085-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a class of nonlocal problem with strong singularity and sublinear term in the nonlinearity. The nonlocal term may change sign. Combining the variational method, Nehari manifold and some estimates, a necessary and sufficient condition that shows the existence of positive solution is obtained.
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页数：19
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