Sharp estimates for eigenfunctions of a Neumann problem

Barbara Brandolini; Barbara Brandolini; null Chiacchio; Cristina Trombetti

Sharp estimates for eigenfunctions of a Neumann problem

Barbara Brandolini, Barbara Brandolini, Chiacchio, Cristina Trombetti

Matematica e Informatica

Risultato della ricerca: Article › peer review

17 Citazioni (Scopus)

Abstract

In this paper we provide some bounds for eigenfunctions of the Laplacian with homogeneous Neumann boundary conditions in a bounded domain Ω of Rn. To this aim we use the so-called symmetrization techniques and the obtained estimates are asymptotically sharp, at least in the bidimensional case, when the isoperimetric constant relative to Ω goes to 0.

Lingua originale	English
pagine (da-a)	1317-1337
Numero di pagine	21
Rivista	Communications in Partial Differential Equations
Volume	34
Stato di pubblicazione	Published - 2009

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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title = "Sharp estimates for eigenfunctions of a Neumann problem",

abstract = "In this paper we provide some bounds for eigenfunctions of the Laplacian with homogeneous Neumann boundary conditions in a bounded domain Ω of Rn. To this aim we use the so-called symmetrization techniques and the obtained estimates are asymptotically sharp, at least in the bidimensional case, when the isoperimetric constant relative to Ω goes to 0.",

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T1 - Sharp estimates for eigenfunctions of a Neumann problem

AU - Brandolini, Barbara

AU - Chiacchio, null

AU - Trombetti, Cristina

PY - 2009

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N2 - In this paper we provide some bounds for eigenfunctions of the Laplacian with homogeneous Neumann boundary conditions in a bounded domain Ω of Rn. To this aim we use the so-called symmetrization techniques and the obtained estimates are asymptotically sharp, at least in the bidimensional case, when the isoperimetric constant relative to Ω goes to 0.

AB - In this paper we provide some bounds for eigenfunctions of the Laplacian with homogeneous Neumann boundary conditions in a bounded domain Ω of Rn. To this aim we use the so-called symmetrization techniques and the obtained estimates are asymptotically sharp, at least in the bidimensional case, when the isoperimetric constant relative to Ω goes to 0.

UR - http://hdl.handle.net/10447/493997

M3 - Article

VL - 34

SP - 1317

EP - 1337

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

SN - 0360-5302

ER -