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.
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页码：5946 / 5960
页数：15
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