arXiv:0710.0129 Abstract | arXiv Analytics

arXiv:0710.0129 [math.AP]Abstract References Reviews Resources

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

Published 2007-09-30, updated 2010-10-02Version 3

This paper deals with a fourth order elliptic equation on compact Riemannian manifolds.We establish the existence of solutions to the equation with critical Sobolev growth which is the subject of the first theorem. In the second one, we prove the multiplicity of solutions in the subcritical case.

Categories: math.AP

Subjects: 58J05

Keywords: compact manifolds, fourth order elliptic equation, mutiplicity, compact riemannian manifolds, paper deals

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