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 50 条

[11] Multiplicity of solutions for a quasilinear elliptic equation with (p, q)-Laplacian and critical exponent on RN
Huang, Chen
Jia, Gao
Zhang, Tiansi
BOUNDARY VALUE PROBLEMS, 2018,
[12] MULTIPLICITY OF SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS WITH SINGULARITY
Li, Juan
BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS AND RELATED PROBLEMS, 2011, : 215 - 224
[13] Multiplicity of solutions for quasilinear elliptic equations in RN
Aouaoui, Sami
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 370 (02) : 639 - 648
[14] Existence of nontrivial positive solutions for generalized quasilinear elliptic equations with critical exponent
Zhang, Shulin
AIMS MATHEMATICS, 2022, 7 (06): : 9748 - 9766
[15] Existence and Multiplicity of Nontrivial Solutions to Quasilinear Elliptic Equations
Li, Anran
Wei, Chongqing
ADVANCED NONLINEAR STUDIES, 2016, 16 (04) : 653 - 666
[16] Multiplicity of solutions for a class of the quasilinear elliptic equations at resonance
Sun, Mingzheng
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 386 (02) : 661 - 668
[17] MULTIPLICITY OF SOLUTIONS FOR SOME DEGENERATE QUASILINEAR ELLIPTIC EQUATIONS
Solferino, Viviana
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[18] Multiplicity of solutions for quasilinear elliptic systems with critical growth
Silva, Elves A. B.
Xavier, Magda S.
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2007, 13 (5-6): : 619 - 642
[19] Multiplicity of solutions for quasilinear elliptic systems with critical growth
Elves A. B. Silva
Magda S. Xavier
Nonlinear Differential Equations and Applications NoDEA, 2007, 13 : 619 - 642
[20] Multiplicity of Solutions for Fourth-Order Elliptic Equations of Kirchhoff Type with Critical Exponent
Song, Yueqiang
Shi, Shaoyun
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2017, 23 (02) : 375 - 386

← 1 2 3 4 5 →