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

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

2007-09-30

arxiv.org/abs/0710.0129v3

Mathematics

Analysis of PDEs

Scientific paper

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.

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