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On a fourth-order elliptic equation involving the critical Sobolev exponent: The effect of the graph topology

✍ Scribed by Abdelhedi, Wael


Book ID
121406512
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
451 KB
Volume
82
Category
Article
ISSN
0362-546X

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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