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.

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页码：232 / 237

页数：6

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