On a nonlinear fourth order elliptic equation involving the Sobolev critical exponent

Francois Ebobisse; Mohameden Ould Ahmedou

arxiv: math/0112240 · v1 · submitted 2001-12-21 · 🧮 math.FA · math.AP

On a nonlinear fourth order elliptic equation involving the Sobolev critical exponent

Francois Ebobisse , Mohameden Ould Ahmedou This is my paper

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keywords criticalellipticequationexponentfourthinvolvingordersobolev

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In this paper we use an algebraic topological argument due to Bahri and Coron to show how the topology of the domain influences the existence of positive solutions of some fourth order elliptic equation involving the critical Sobolev exponent.

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On a nonlinear fourth order elliptic equation involving the Sobolev critical exponent

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