On the Existence of Extremals for the Sobolev Trace Embedding Theorem with Critical Exponent | Zendy

Bonder Julián Fernández | Zendy; Rossi Julio D. | Zendy

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On the Existence of Extremals for the Sobolev Trace Embedding Theorem with Critical Exponent

Author(s) -

Bonder Julián Fernández,

Rossi Julio D.

Publication year - 2005

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s0024609304003819

Subject(s) - mathematics , sobolev space , trace (psycholinguistics) , sobolev inequality , bounded function , exponent , embedding , domain (mathematical analysis) , mathematics subject classification , critical exponent , sobolev spaces for planar domains , pure mathematics , mathematical analysis , interpolation space , functional analysis , geometry , philosophy , linguistics , artificial intelligence , scaling , computer science , biochemistry , chemistry , gene

In this paper, the existence problem is studied for extremals of the Sobolev trace inequality W 1,p (ω)→ L p* (∂Ω), where Ω is a bounded smooth domain in R N , p *= p ( N −1)/( N − p ), is the critical Sobolev exponent, and 1 < p < N . 2000 Mathematics Subject Classification 35J65 (primary), 35B33 (secondary).

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