Existence of solutions for semilinear problems with prescribed number of zeros on exterior domains

被引：12

作者：

Iaia, Joseph A. ^{[1
]}

机构：

[1] Univ North Texas, Dept Math, POB 311430, Denton, TX 76203 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 446卷 / 01期

关键词：

Exterior domain; Superlinear; Radial; SEMIPOSITONE PROBLEMS;

D O I：

10.1016/j.jmaa.2016.08.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence of an infinite number of radial solutions of Delta u + K(r) f(u) = 0 on the exterior of the ball of radius R centered at the origin in R-N such that lim(r ->infinity) u(r) = 0 with prescribed number of zeros where f : R -> R is odd and there exists a beta > 0 with f < 0 on (0, beta), f > 0 on (beta, infinity) with f superlinear for large u, and K(r) similar to r(-alpha) with 0 < alpha < N. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：591 / 604

页数：14

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