On the Evolutionary Fractionalp-Laplacian
Dimitri Puhst · Applied Mathematics Research eXpress · 2015
In this work, existence results on nonlinear first order as well as doubly nonlinear second-order evolution equations involving the fractional |$p$|-Laplacian are presented. The proofs do not exploit any monotonicity assumption but rely on a compactness argument in combination with regularity of the Galerkin scheme and the nonlocal character of the operator.