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Published in 2017 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201700302
Abstract: In this paper we study Sobolev‐type inequalities associated with singular problems for the fractional p‐Laplacian operator in a bounded domain of RN, N≥2.
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Keywords:
sobolev inequalities;
associated singular;
fractional sobolev;
problems fractional ... See more keywords
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Published in 2021 at "Archiv der Mathematik"
DOI: 10.1007/s00013-021-01594-0
Abstract: We construct whole-space extensions of functions in a fractional Sobolev space of order $s\in (0,1)$ and integrability $p\in (0,\infty)$ on an open set $O$ which vanish in a suitable sense on a portion $D$ of…
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Keywords:
spaces partial;
fractional sobolev;
condition;
problem fractional ... See more keywords