Sign-changing bubble for Neumann problem with critical nonlinearity on the boundary

被引：0

作者：

Ammar, Siwar ^{[1
]}

Hammami, Mokhless ^{[2
]}

Ismail, Houria ^{[2
]}

机构：

[1] Univ Monastir, Rue Salem Bchir NB 56, Monastir 5000, Tunisia

[2] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax, Tunisia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 04期

关键词：

blow-up solution; critical Sobolev exponent; sign-changing solutions; MEAN-CURVATURE PROBLEM; SCALAR CURVATURE; R-N; CONFORMAL METRICS; EQUATION; BALL; B-4;

D O I：

10.1002/mma.4018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to construct sign-changing solution for the following Neumann problem: (P) : Delta u = 0, in R-+(n) , and - partial derivative u/partial derivative x(n) = K(x)vertical bar u vertical bar(2/n-2) u on partial derivative R-+(n) , where n >= 3 and K is a bounded and continuous function on Rn-1, which concentrate around two critical points satisfying some conditions. Copyright (C) 2016 JohnWiley & Sons, Ltd.

引用

页码：896 / 914

页数：19

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