Singular boundary behaviour and large solutions for fractional elliptic equations

18 Nov 2019 Abatangelo Nicola Gómez-Castro David Vázquez Juan Luis

We show that the boundary behaviour of solutions to nonlocal fractional equations posed in bounded domains strongly differs from the one of solutions to elliptic problems modelled upon the Laplace-Poisson equation with zero boundary data. In this classical case it is known that, at least in a suitable weak sense, solutions of non-homogeneous Dirichlet problem are unique and tend to zero at the boundary... (read more)

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