INFINITELY MANY SOLUTIONS FOR A SEMILINEAR PROBLEM ON EXTERIOR DOMAINS WITH NONLINEAR BOUNDARY CONDITION

被引：0

作者：

Joshi, Janak ^{[1
]}

Iaia, Joseph A. ^{[1
]}

机构：

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

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Exterior domain; superlinear; radial solution; SEMIPOSITONE PROBLEMS; RADIAL SOLUTIONS; EXISTENCE; ZEROS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we prove the existence of an infinite number of radial solutions to Delta u+K(r) f(u)= 0 with a nonlinear boundary condition 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 any given number of zeros where f : R -> R is odd and there exists a beta > 0 with f < 0 on (0,0), f > 0 on (beta,infinity) with f superlinear for large u, and K(r) similar to r(-alpha)with 0 < alpha < 2(N - 1).

引用

页数：10

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