On the existence of extremals for the Sobolev trace embedding theorem with critical exponent
In this paper, the existence problem is studied for extremals of the Sobolev trace inequality W1,p(Ω) → L p(∂Ω), where Ω is abounded smooth domain in ℝN, p* = p(N - 1)/(N - p) is the critical Sobolev exponent, and 1 < p < N. © 2005 London Mathematical Society.
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| Publicado: |
2005
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00246093_v37_n1_p119_Bonder http://hdl.handle.net/20.500.12110/paper_00246093_v37_n1_p119_Bonder |
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| Sumario: | In this paper, the existence problem is studied for extremals of the Sobolev trace inequality W1,p(Ω) → L p(∂Ω), where Ω is abounded smooth domain in ℝN, p* = p(N - 1)/(N - p) is the critical Sobolev exponent, and 1 < p < N. © 2005 London Mathematical Society. |
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