An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit

Barbara Brandolini; Barbara Brandolini; Carlo Nitsch; Cristina Trombetti

An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit

Barbara Brandolini, Barbara Brandolini, Carlo Nitsch, Cristina Trombetti

Matematica e Informatica

Risultato della ricerca: Article › peer review

13 Citazioni (Scopus)

Abstract

We prove an upper bound for the first Dirichlet eigenvalue of the p-Laplacian operator on convex domains. The result implies a sharp inequality where, for any convex set, the Faber-Krahn deficit is dominated by the isoperimetric deficit.

Lingua originale	English
pagine (da-a)	391-400
Numero di pagine	10
Rivista	Archiv der Mathematik
Volume	94
Stato di pubblicazione	Published - 2010

All Science Journal Classification (ASJC) codes

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abstract = "We prove an upper bound for the first Dirichlet eigenvalue of the p-Laplacian operator on convex domains. The result implies a sharp inequality where, for any convex set, the Faber-Krahn deficit is dominated by the isoperimetric deficit.",

author = "Barbara Brandolini and Barbara Brandolini and Carlo Nitsch and Cristina Trombetti",

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pages = "391--400",

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AU - Brandolini, Barbara

AU - Nitsch, Carlo

AU - Trombetti, Cristina

PY - 2010

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N2 - We prove an upper bound for the first Dirichlet eigenvalue of the p-Laplacian operator on convex domains. The result implies a sharp inequality where, for any convex set, the Faber-Krahn deficit is dominated by the isoperimetric deficit.

AB - We prove an upper bound for the first Dirichlet eigenvalue of the p-Laplacian operator on convex domains. The result implies a sharp inequality where, for any convex set, the Faber-Krahn deficit is dominated by the isoperimetric deficit.

UR - http://hdl.handle.net/10447/494165

M3 - Article

VL - 94

SP - 391

EP - 400

JO - Archiv der Mathematik

JF - Archiv der Mathematik

SN - 0003-889X

ER -

An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit

Abstract

All Science Journal Classification (ASJC) codes

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