New Type of Sign-Changing Blow-up Solutions for Scalar Curvature Type Equations

被引：8

作者：

Deng, Shengbing ^{[1
]}

Musso, Monica ^{[2
]}

Wei, Juncheng ^{[3
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Pontificia Univ Catolica Chile, Dept Matemat, Avda Vicuna Mackenna 4860, Macul 7820436, Chile

[3] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2019年 / 2019卷 / 13期

基金：

加拿大自然科学与工程研究理事会;

关键词：

NONLINEAR ELLIPTIC PROBLEM; NODAL SOLUTIONS; PERTURBATIONS; EXAMPLES;

D O I：

10.1093/imrn/rnx245

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (M, g) be a smooth compact n-dimension Riemannian manifold. We are concerned with the existence of sign-changing blow-up solutions to the following elliptic problem Delta(g)u + hu = vertical bar u vertical bar(4/n-2-epsilon) u, in M, where Delta(g) = -div(g)(del) is the Laplace-Beltrami operator on M, h is a C-1 function on M, epsilon is a small real parameter such that epsilon goes to 0.

引用

页码：4159 / 4197

页数：39

共 26 条

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