Concentration at sub-manifolds for an elliptic Dirichlet problem near high critical exponents-Reference-Cited by-同舟云学术

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Concentration at sub-manifolds for an elliptic Dirichlet problem near high critical exponents

Published:2018-08-02 Issue:2 Volume:118 Page:379-415
ISSN:0024-6115
Container-title:Proceedings of the London Mathematical Society
language:en
Short-container-title:Proc. London Math. Soc.

Author:

Deng Shengbing¹,Mahmoudi Fethi²³,Musso Monica⁴⁵

Affiliation:

1. School of Mathematics and Statistics; Southwest University; Chongqing 400715 People's Republic of China

2. Centro de Modelamiento Matemático (UMI CNRS 2807); Universidad de Chile; Beauchef 851 Santiago Chile

3. Department of Mathematics; Faculty of Sciences of Tunis; University of Tunis El Manar; Campus Universitaire 2092 Tunis Tunisia

4. Department of Mathematical Sciences; University of Bath; Bath BA2 7AY United Kingdom

5. Departamento de Matemáticas; Universidad Católica de Chile; Macul 782-0436 Chile

Funder

National Natural Science Foundation of China

Comisión Nacional de Investigación Científica y Tecnológica

Fondo Nacional de Desarrollo Científico y Tecnológico

Publisher

Wiley

Subject

General Mathematics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1112/plms.12183/fullpdf

Reference33 articles.

1. Boundary clustered layers near the higher critical exponents;Ackermann;J. Differential Equations,2013

2. Problèmes isopérimétriques et espaces de Sobolev;Aubin;J. Differential Geom.,1976

3. On a nonlinear elliptic equation involving the critical Sobolev exponent: the effect of the topology of the domain;Bahri;Comm. Pure Appl. Math.,1988

4. On a variational problem with lack of compactness: the topological effect of the critical points at infinity;Bahri;Calc. Var. Partial Differential Equations,1995

5. A note on the Sobolev inequality;Bianchi;J. Funct. Anal.,1991

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