Multiplicity of solutions for a fourth order elliptic equation with critical exponent on compact manifolds

被引：14

作者：

Benalili, Mohammed ^{[1
]}

机构：

[1] Fac Sci, Dept Math, Tilimsen, Algeria

来源：

APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 02期

关键词：

fourth order elliptic equation; critical Sobolev growth;

D O I：

10.1016/j.aml.2006.06.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work deals with a perturbation of the so called prescribed scalar Q-curvature type equations on compact Riemannian manifolds; these equations are fourth order elliptic and of critical Sobolev growth. Sufficient conditions are given for having at least two distinct solutions. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：232 / 237

页数：6

共 6 条

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