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High-energy positive solutions for a critical growth Dirichlet problem in noncontractible domains

✍ Scribed by Pigong Han


Book ID
103845304
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
251 KB
Volume
60
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


Asymptotics for a variational problem wi
✍ Shigeru Moriyama πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 845 KB

Let Ω be a bounded smooth domain in R N , N β‰₯ 3. We consider the variational problem inf Ω |βˆ‡u| 2 for the admissible class Caffarelli and Spruck [L.A. Caffarelli, J. Spruck, Variational problems with critical Sobolev growth and positive Dirichlet data, Indiana Univ. Math. J. 39 (1990) 1-18] proved