Multiplicity of solutions for elliptic quasilinear equations with critical exponent on compact manifolds

被引：6

作者：

Benalili, Mohammed ^{[1
]}

Maliki, Youssef ^{[1
]}

机构：

[1] Univ Abou Bekr Belkaid Tlemcen, Fac Sci, Dept Math, Tilimsen, Algeria

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Multiplicity of solutions; p-Laplacian operator; Critical Sobolev growth; SCALAR CURVATURE; CONVERGENCE;

D O I：

10.1016/j.na.2009.05.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with some perturbation of the so-called generalized prescribed scalar. curvature type equations on compact Riemannian manifolds; these equations are nonlinear, of critical Sobolev growth, and involve the p-Laplacian. Sufficient conditions are given to have multiple positive solutions. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：5946 / 5960

页数：15

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