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On a geometric equation involving the Sobolev trace critical exponent

✍ Scribed by Al-Ghamdi, Mohamed; Chtioui, Hichem; Sharaf, Khadija


Book ID
121619524
Publisher
Hindawi Publishing Corporation
Year
2013
Tongue
English
Weight
310 KB
Volume
2013
Category
Article
ISSN
1025-5834

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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