We study semilinear problems in bounded C1,1 domains for non -lo cal 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-lo cal operator and boundary behaviour of Green and Poisson potentials.
Semilinear Dirichlet problem for subordinate spectral Laplacian
Biocic, Ivan
2023-01-01
Abstract
We study semilinear problems in bounded C1,1 domains for non -lo cal 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-lo cal operator and boundary behaviour of Green and Poisson potentials.
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