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

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

2001-12-21

arxiv.org/abs/math/0112240v1

Mathematics

Functional Analysis

19 pages

Scientific paper

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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