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math.AP2020★ 4 cited
Interior and up to the boundary regularity for the fractional -Laplacian: the convex case
Julián Fernández Bonder, Ariel Salort, Hernán Vivas
We establish interior and up to the boundary Hölder regularity estimates for weak solutions of the Dirichlet problem for the fractional Laplacian with bounded right hand side a…
math.AP2020★ 1 cited
Fractional eigenvalues in Orlicz spaces with no condition
Ariel Salort, Hernán Vivas
We study the eigenvalue problem for the Laplacian operator in fractional order Orlicz-Sobolev spaces, where and neither nor its conjugated function satisfy the …