Fractional Sobolev inequalities associated with singular problems
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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. read more here.
Keywords: sobolev inequalities; associated singular; fractional sobolev; problems fractional ... See more keywords
The extension problem for fractional Sobolev spaces with a partial vanishing trace condition
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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… read more here.
Keywords: spaces partial; fractional sobolev; condition; problem fractional ... See more keywords