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The Critical Dimension for a Fourth Order Elliptic Problem with Singular Nonlinearity

✍ Scribed by Craig Cowan; Pierpaolo Esposito; Nassif Ghoussoub; Amir Moradifam


Publisher
Springer
Year
2010
Tongue
English
Weight
273 KB
Volume
198
Category
Article
ISSN
0003-9527

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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