Higher Sobolev Regularity for the fractional p−Laplace equation in the superquadratic caseReportar como inadecuado




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1 I2M - Institut de Mathématiques de Marseille 2 Department of Mathematics

Abstract : 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.





Autor: Lorenzo Brasco - Erik Lindgren -

Fuente: https://hal.archives-ouvertes.fr/



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