On the uniqueness of the second bound state solution of a semilinear equation

被引：13

作者：

Cortazar, Carmen ^{[2
]}

Garcia-Huidobro, Marta ^{[2
]}

Yarur, Cecilia S. ^{[1
]}

机构：

[1] Univ Santiago Chile, Dept Matemat & CC, Santiago, Chile

[2] Pontificia Univ Catolica Chile, Dept Matemat, Santiago, Chile

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2009年 / 26卷 / 06期

关键词：

Bound state; Uniqueness; Separation lemmas; LINEAR ELLIPTIC-EQUATIONS; POSITIVE RADIAL SOLUTIONS; GROUND-STATE; NONNEGATIVE SOLUTIONS; DELTA-U+F(U)=0; RN; EXISTENCE; LAPLACIAN; R(N);

D O I：

10.1016/j.anihpc.2009.01.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the uniqueness of the second radial bound state solution of Delta u + f (u) = 0, x is an element of R-n. We assume that the nonlinearity f is an element of C(-infinity, infinity) is an odd function satisfying some convexity and growth conditions of superlinear type, and either has one zero at b > 0, is nonpositive and not identically 0 in (0, b), and is differentiable and positive [b, infinity), or is positive and differentiable in [0, infinity). (C) 2009 Elsevier Masson SAS. All rights reserved.

引用

页码：2091 / 2110

页数：20

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