Existence and multiplicity of solutions to elliptic equations of fourth order on compact manifolds

被引：0

作者：

Benalili, Mohammed ^{[1
]}

机构：

[1] Univ Abou Bekr Belkaid Tlemcen, Fac Sci, Dept Maths, Tilimsen, Algeria

来源：

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 6卷 / 03期

关键词：

Elliptic equation of fourth order; Critical Sobolev exponent; CRITICAL EXPONENTS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a fourth order elliptic equation on compact Riemannian manifolds, the function f involved in the nonlinearity is of changing sign which makes the analysis more difficult than the case where f is of constant sign. We prove the multiplicity of solutions in the subcritical case which is the subject of the first theorem. In the second one we establish the existence of solutions to the equation with critical Sobolev growth.

引用

页码：203 / 225

页数：23

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