arXiv:1203.4130 Abstract | arXiv Analytics

arXiv:1203.4130 [math.AP]Abstract References Reviews Resources

Fractional Eigenvalues

Published 2012-03-19, updated 2012-04-23Version 2

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

Categories: math.AP

Subjects: 35J60, 35P30, 35R11

Keywords: fractional eigenvalues, fractional sobolev spaces, non-local eigenvalue problem, non-local equation, strange behaviour

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