Fractional Eigenvalues

Details Fractional Eigenvalues Fractional Eigenvalues

2012-03-19

arxiv.org/abs/1203.4130v2

Mathematics

Analysis of PDEs

Scientific paper

We study a non-local eigenvalue problem related to the fractional Sobolev
spaces for large values of p and derive the limit equation as p goes to
infinity. Its viscosity solutions have many interesting properties and the
eigenvalues exhibit a strange behaviour.
Keywords: eigenvalue, non-local equation, non-linear equation

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