Existence and mutiplicity of solutions to elliptic equations of fourth order on compact manifolds
نویسندگان
چکیده
Existence and mutiplicity of solutions to elliptic equations of fourth order on compact manifolds. Abstract. 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.
منابع مشابه
Multiplicity of solutions for a fourth order elliptic equation with critical exponent on compact manifolds
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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