In this paper we study the first Steklov-Laplacian eigenvalue with an internal fixed spherical obstacle. We prove that the spherical shell locally maximizes the first eigenvalue among nearly spherical sets when both the internal ball and the volume are fixed.

A STABILITY RESULT for the STEKLOV LAPLACIAN EIGENVALUE PROBLEM with A SPHERICAL OBSTACLE / Paoli, G.; Piscitelli, G.; Sannipoli, R.. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 20:1(2021), pp. 145-158. [10.3934/cpaa.2020261]

A STABILITY RESULT for the STEKLOV LAPLACIAN EIGENVALUE PROBLEM with A SPHERICAL OBSTACLE

Paoli G.;Piscitelli G.;Sannipoli R.
2021

Abstract

In this paper we study the first Steklov-Laplacian eigenvalue with an internal fixed spherical obstacle. We prove that the spherical shell locally maximizes the first eigenvalue among nearly spherical sets when both the internal ball and the volume are fixed.
2021
A STABILITY RESULT for the STEKLOV LAPLACIAN EIGENVALUE PROBLEM with A SPHERICAL OBSTACLE / Paoli, G.; Piscitelli, G.; Sannipoli, R.. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 20:1(2021), pp. 145-158. [10.3934/cpaa.2020261]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/859550
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