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arxiv: 1203.4130 · v2 · pith:4R3NPTWDnew · submitted 2012-03-19 · 🧮 math.AP

Fractional Eigenvalues

classification 🧮 math.AP
keywords equationeigenvalueeigenvaluesfractionalnon-localbehaviourderiveexhibit
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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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