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math.AP2015
Large solutions for fractional Laplacian operators
Nicola Abatangelo
The thesis studies linear and semilinear Dirichlet problems driven by different fractional Laplacians. The boundary data can be smooth functions or also Radon measures. The goal is…
math.AP2015
Nonhomogeneous boundary conditions for the spectral fractional Laplacian
Nicola Abatangelo, Louis Dupaigne
We present a construction of harmonic functions on bounded domains for the spectral fractional Laplacian operator and we classify them in terms of their divergent profile at the bo…