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Fractional Eigenvalues

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

preprint2012arXivOpen access
Erik LindgrenPeter Lindqvist
math.AP
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Erik LindgrenPeter Lindqvist

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