Higher Sobolev Regularity for the fractional p−Laplace equation in the superquadratic caseReport as inadecuate




Higher Sobolev Regularity for the fractional p−Laplace equation in the superquadratic case - Download this document for free, or read online. Document in PDF available to download.

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.





Author: Lorenzo Brasco - Erik Lindgren -

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



DOWNLOAD PDF




Related documents