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On a fourth order Lichnerowicz type equation involving the Paneitz–Branson operator

✍ Scribed by Maalaoui, Ali

Book ID
120297736
Publisher
Springer
Year
2012
Tongue
English
Weight
191 KB
Volume
42
Category
Article
ISSN
0232-704X

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On a nonlinear fourth-order elliptic equ
On a nonlinear fourth-order elliptic equation involving the critical Sobolev exponent
✍ François Ebobisse; Mohameden Ould Ahmedou 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 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