TY - JOUR AU - Del Teso Méndez, Félix AU - Gómez-Castro, D. AU - Vázquez, Juan Luis PY - 2021 DO - 10.1515/fca-2021-0042 SN - 1311-0454 UR - https://hdl.handle.net/20.500.14352/4992 T2 - Fractional Calculus and Applied Analysis AB - We introduce three representation formulas for the fractional p-Laplace operator in the whole range of parameters 0 < s < 1 and 1 < p < ∞. Note that for p ≠ 2 this a nonlinear operator. The first representation is based on a splitting procedure that... LA - eng PB - Spriger KW - Fractional p-Laplacian KW - Bochner’s subordination KW - Semigroup formula KW - Extension problem KW - Balakrishnan’s formula KW - Spectral formulation TI - Three representations of the fractional p-Laplacian:semigroup, extension and Balakrishnan formulas TY - journal article ER -