We extend the global compactness result by Struwe (1984) to any fractional Sobolev spaces H ̇ s(⌦), for 0 < s < N/2 and ⌦ ⇢ RN a bounded domain with smooth boundary. The proof is a simple direct consequence of the so-called profile decomposition of Gérard (1998).
A global compactness type result for Palais–Smale sequences in fractional Sobolev spaces / Palatucci, Giampiero; Pisante, Adriano. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 117:(2015), pp. 1-7. [10.1016/j.na.2014.12.027]
A global compactness type result for Palais–Smale sequences in fractional Sobolev spaces
PISANTE, Adriano
2015
Abstract
We extend the global compactness result by Struwe (1984) to any fractional Sobolev spaces H ̇ s(⌦), for 0 < s < N/2 and ⌦ ⇢ RN a bounded domain with smooth boundary. The proof is a simple direct consequence of the so-called profile decomposition of Gérard (1998).File allegati a questo prodotto
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