On the existence of extremals for the Sobolev trace embedding theorem with critical exponent

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On the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity (1).pdf(2.46 KB)
Date
2005
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WILEY
Abstract
In this paper, the existence problem is studied for extremals of the Sobolev trace inequality W-1,W-p(Omega) --> L-p* (partial derivativeOmega), where Omega is a bounded smooth domain in R-N, p(*) = p(N - 1)/(N - p) is the critical Sobolev exponent, and 1 < p < N.
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ASYMPTOTIC-BEHAVIOR, CONSTANTS, EQUATIONS
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https://doi.org/10.1112/S0024609304003819
 https://repositorio.uc.cl/handle/11534/76249
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