Semilinear Dirichlet problem for subordinate spectral Laplacian

Published 17 Jun 2022 in math.AP and math.PR | (2206.08552v2)

Abstract: We study semilinear problems in bounded $C^{1,1}$ domains for non-local operators with a boundary condition. The operators cover and extend the case of the spectral fractional Laplacian. We also study harmonic functions with respect to the non-local operator and boundary behaviour of Green and Poisson potentials.

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Ivan Biocic

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