Infinitely Many Solutions for a Semilinear Elliptic Equation with Sign-Changing Potential

被引：2

作者：

Yu, Chen ^{[1
]}

Li Yongqing ^{[1
]}

机构：

[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2009年

关键词：

Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Equation; Elliptic Equation;

D O I：

10.1155/2009/532546

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a similinear elliptic equation with sign-changing potential -Delta u - V(x)u = f(x, u), u is an element of H-1(R-N), where V(x) is a function possibly changing sign in R-N. Under certain assumptions on f, we prove that the equation has infinitely many solutions. Copyright (C) 2009 C. Yu and L. Yongqing.

引用

页数：7

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