A VARIATIONAL APPROACH FOR A NONLOCAL AND NONVARIATIONAL ELLIPTIC PROBLEM

被引：9
|
作者：
Correa, Francisco Julio S. A. [1 ]
Figueiredo, Giovany M. [2 ]
机构：
[1] Univ Fed Campina Grande, Unidade Acad Matemat & Estat, BR-58109970 Campina Grande, PB, Brazil
[2] Fed Univ Para, Fac Matemat, BR-66075110 Belem, Para, Brazil
来源：
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2010年 / 22卷 / 04期
关键词：
Nonlocal problem; mountain pass theorem;
D O I：
10.1216/JIE-2010-22-4-549
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove results concerning the existing of solutions for the problem -a(x, integral(Omega) udx)Delta u = f(x, u) in Omega, where Omega is a bounded regular domain and f : (Omega) over bar x R -> R is a function having subcritical growth. Although we are facing a problem with lack of variational structure we will be able to apply variational technique (the Mountain pass theorem) by suitably using a device introduced in [6]
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页码：549 / 557
页数：9
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