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

共 11 条

[1]

Ambrosetti A., 2000, Rend. Mat. Appl., V20, P167

[2] MULTIPLICITY OF SOLUTIONS FOR ELLIPTIC PROBLEMS WITH CRITICAL EXPONENT OR WITH A NONSYMMETRIC TERM [J].

AZORERO, JG ;

ALONSO, IP .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 323 (02) :877-895

[3] ALMOST EVERYWHERE CONVERGENCE OF THE GRADIENTS OF SOLUTIONS TO ELLIPTIC AND PARABOLIC EQUATIONS [J].

BOCCARDO, L ;

MURAT, F .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 19 (06) :581-597

[4] A RELATION BETWEEN POINTWISE CONVERGENCE OF FUNCTIONS AND CONVERGENCE OF FUNCTIONALS [J].

BREZIS, H ;

LIEB, E .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 88 (03) :486-490

[5] Generalized scalar curvature type equations on compact Riemannian manifolds [J].

Druet, O .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2000, 130 :767-788

[6] QUASILINEAR ELLIPTIC-EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS [J].

GUEDDA, M ;

VERON, L .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (08) :879-902

[7] EXISTENCE AND MULTIPLICITY OF NODAL SOLUTIONS FOR NONLINEAR ELLIPTIC-EQUATIONS WITH CRITICAL SOBOLEV GROWTH [J].

HEBEY, E ;

VAUGON, M .

JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 119 (02) :298-318

[8] BETTER CONSTANTS IN THE SOBOLEV EMBEDDING THEOREM AND MULTIPLICITY FOR THE NIRENBERG-YAMABE PROBLEMS [J].

HEBEY, E ;

VAUGON, M .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1992, 41 (02) :377-407

[9]

Rauzy A, 1996, B SCI MATH, V120, P153

[10]

RAUZY A, 1993, T AM MATH SOC, V349, P4729

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