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

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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.
19 pages

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Functional Analysis, Analysis of PDEs, 35J60; 35J65; 58E05

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http://salesiana.dossiersoluciones.com/handle/123456789/62953

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0112240
 http://arxiv.org/abs/math/0112240

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arXiv