Semipositone problems with falling zeros on exterior domains

被引：30

作者：

Sankar, Lakshmi ^{[1
]}

Sasi, Sarath ^{[1
]}

Shivaji, R. ^{[2
]}

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

[2] Univ N Carolina, Dept Math & Stat, Greensboro, NC 27412 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 401卷 / 01期

关键词：

Existence; Uniqueness; Exterior domains; Semipositone problems; Falling zeros; NON-NEGATIVE SOLUTIONS; NON-POSITONE PROBLEMS; POSITIVE SOLUTIONS; NONNEGATIVE SOLUTIONS; UNIQUENESS;

D O I：

10.1016/j.jmaa.2012.11.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study boundary value problems of the form [GRAPHICS] , where lambda is a positive parameter, Delta u = div (del u) is the Laplacian of u, Omega = {x is an element of R-n; n > 2, vertical bar x vertical bar > r(0)}, K belongs to a class of C-1 functions such that lim(r ->infinity) K(r) = 0, and f belongs to a class of C-1 functions which are negative at the origin and have falling zeros. We discuss the existence and uniqueness of nonnegative radial solutions when lambda is large. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：146 / 153

页数：8

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