Semilinear Dirichlet problem for subordinate spectral Laplacian
Ivan Biočić · Communications on Pure & Applied Analysis · 2022
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.