Regularity for a fractional p-Laplace equation
نویسندگان
چکیده
منابع مشابه
Higher Sobolev regularity for the fractional p-Laplace equation in the superquadratic case
We prove that for p ≥ 2 solutions of equations modeled by the fractional p−Laplacian improve their regularity on the scale of fractional Sobolev spaces. Moreover, under certain precise conditions, they are in W 1,p loc and their gradients are in a fractional Sobolev space as well. The relevant estimates are stable as the fractional order of differentiation s reaches 1.
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ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2017
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199717500031