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.
CITATION STYLE
Puhst, D. (2014). On the Evolutionary Fractional p-Laplacian. Applied Mathematics Research EXpress, 2015(2), 253–273. https://doi.org/10.1093/amrx/abv003
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