Existence of solutions for a nonhomogeneous semilinear elliptic equation

被引：3
|
作者：
Arcoya, David [1 ]
de Paiva, Francisco Odair [2 ]
Mendoza, Jose M. [2 ]
机构：
[1] Univ Granada, Dept Math Anal, E-18071 Granada, Spain
[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, Brazil
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 195卷
基金：
巴西圣保罗研究基金会;
关键词：
Semilinear elliptic problem; Variational methods; Existence of solution; INDEFINITE;
D O I：
10.1016/j.na.2019.111728
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a bounded domain Omega, a bounded Caratheodory function g in Omega x R, p > 1 and a nonnegative locally integrable function h in Omega which is strictly positive in a set of positive measure we prove that, contrarily with the case h equivalent to 0, there exists a solution of the semilinear elliptic problem {-Delta u = lambda u + g(x, u) - h vertical bar u vertical bar(p-1)u + f, in Omega u = 0, on partial derivative Omega, for every lambda is an element of R and f is an element of L-2(Omega). (C) 2019 Elsevier Ltd. All rights reserved.
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页数：10
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