Multiplicity of solutions for a fourth order elliptic equation with critical exponent on compact manifolds
Multiplicity of solutions for a fourth order elliptic equation with critical exponent on compact manifolds
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DOI：
10.1016/j.aml.2006.06.002
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发表时间：
2007-02
期刊：
影响因子：
--
通讯作者：
Mohammed Benalili
中科院分区：
文献类型：
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作者：
Mohammed Benalili
这项工作涉及紧致黎曼流形上所谓的规定标量 Q 曲率型方程的扰动；这些方程是四阶椭圆方程并且具有临界索博列夫增长。给出了至少有两个不同解的充分条件。
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.