A fractional eigenvalue problem in $\mathbb{R}^N$

Giacomo  Bocerani; Dimitri  Mugnai

doi:10.3934/dcdss.2016016

Article Contents

2016, Volume 9, Issue 3: 619-629. Doi: 10.3934/dcdss.2016016

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A fractional eigenvalue problem in $\mathbb{R}^N$

Giacomo Bocerani^1, and
Dimitri Mugnai^1,

1.
Department of Mathematics and Computer Sciences, University of Perugia, Via Vanvitelli 1, 06123 Perugia

Received: April 2015

Revised: June 2015

Published online: April 2016

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Abstract

We prove that a linear fractional operator with an asymptotically constant lower order term in the whole space admits eigenvalues.

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Mathematics Subject Classification: Primary: 35R11, 45C05; Secondary: 35A15, 35P15, 49R05.

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