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Regularity of a Fourth Order Nonlinear PDE with Critical Exponent

✍ Scribed by Gursky, Matthew J. (author);Yang, Paul C. (author);Chang, Sun-Yung A. (author)


Book ID
118226189
Publisher
Johns Hopkins University Press
Year
1999
Tongue
English
Weight
889 KB
Volume
121
Category
Article
ISSN
0002-9327

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On a nonlinear fourth-order elliptic equ
✍ FranΓ§ois Ebobisse; Mohameden Ould Ahmedou πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 187 KB

In this paper we use an algebraic topological argument due to Bahri and Coron to show how the topology of the domain in uences the existence of positive solutions of the following problem involving the bilaplacian operator with the critical Sobolev exponent 2 u = u n+4= (n-4