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Nonlinear elliptic equations with critical Sobolev exponent in nearly starshaped domains

✍ Scribed by Riccardo Molle; Donato Passaseo

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
60 KB
Volume
335
Category
Article
ISSN
1631-073X

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πŸ“œ SIMILAR VOLUMES

Elliptic equations with critical Sobolev
Elliptic equations with critical Sobolev exponents in dimension 3
✍ Olivier Druet πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 124 KB

We study the existence of minimizing solutions for an elliptic equation with critical Sobolev growth on a smooth bounded domain of R 3 . We answer in particular two questions of HaΓ―m Brezis. Higher dimensions n 4 are completely understood thanks to previous works by H. Brezis and L. Nirenberg.ο›™ 2002

On a nonlinear fourth-order elliptic equ
On a nonlinear fourth-order elliptic equation involving the critical Sobolev exponent
✍ 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