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On a Fourth Order Nonlinear Elliptic Equation with Negative Exponent

✍ Scribed by Guo, Zongming; Wei, Juncheng


Book ID
118198656
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
279 KB
Volume
40
Category
Article
ISSN
0036-1410

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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