Multiple existence of solutions for a nonlinear elliptic problem on a Riemannian manifold

被引：20
|
作者：
Hirano, Norimichi [1 ]
机构：
[1] Yokohama Natl Univ, Dept Math, Grad Sch Environm & Informat Sci, Yokohama, Kanagawa 240, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 02期
关键词：
Multiple existence of solutions; Nonlinear elliptic problem; Riemannian manifold; CRITICAL SOBOLEV EXPONENT; POSITIVE SOLUTIONS; TOPOLOGY; DOMAIN; EQUATIONS;
D O I：
10.1016/j.na.2008.01.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (M, g) be a compact, connected, orientable smooth N-dimensional Riemannian manifold without boundary. Let P epsilon (2, 2*), where 2* = 2N/(N - 2-). We consider the multiple existence of solutions of the problem -epsilon(2) Delta(g)u + u = vertical bar u vertical bar(p-2) u on M, where Delta(g) stands for the Laplacian in M. (C) 2008 Elsevier Ltd. All rights reserved.
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页码：671 / 692
页数：22
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