EXISTENCE AND MULTIPLICITY RESULTS FOR SOME SUPERLINEAR ELLIPTIC PROBLEMS ON R(N)

被引：753

作者：

BARTSCH, T ^{[1
]}

WANG, ZQ ^{[1
]}

机构：

[1] UTAH STATE UNIV,DEPT MATH & STAT,LOGAN,UT 84322

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1995年 / 20卷 / 9-10期

关键词：

D O I：

10.1080/03605309508821149

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the semilinear elliptic PDE -Delta u + b(x)u = f(x, u) in R(N). The nonlinearity f will be superlinear and subcritical. We prove the existence of a positive solution under various hypotheses on b. If b(x) = lambda alpha(x)+1 and f is odd in u, then we also discuss the dependence of the number of (possibly sign changing) solutions on the parameter lambda. We do not assume that b or f have a limit for \x\ --> infinity.

引用

页码：1725 / 1741

页数：17