An optimization problem for the first eigenvalue of the p†fractional Laplacian

Leandro Del Pezzo, Julián Fernández Bonder and Luis López Ríos

Mathematische Nachrichten, 2018, vol. 291, issue 4, 632-651

Abstract: In this paper we analyze an eigenvalue problem related to the nonlocal p†Laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of these operators (existence, positivity of associated eigenfunctions, simplicity and isolation) we investigate the dependence of the first eigenvalue on the potential function and establish the existence of some optimal potentials in some admissible classes.

Date: 2018
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https://doi.org/10.1002/mana.201600110

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:291:y:2018:i:4:p:632-651

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