Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities

Fusco N, Maggi F, Pratelli A (2009)

Publication Language: English

Publication Status: Published

Publication Type: Journal article

Publication year: 2009

Journal

Annali della Scuola Normale Superiore di Pisa-Classe di Scienze

Book Volume: 8

Pages Range: 51-71

Journal Issue: 1

Abstract

The first eigenvalue of the p-Laplacian on an open set of given measure attains its minimum value if and only if the set is a ball. We provide a quantitative version of this statement by an argument that can be easily adapted to treat also certain isocapacitary and Cheeger inequalities.

Authors with CRIS profile

Aldo Pratelli Lehrstuhl für Analysis

Involved external institutions

Università degli Studi di Napoli Federico II IT Italy (IT) Università degli Studi di Firenze / University of Florence IT Italy (IT)

How to cite

APA:

Fusco, N., Maggi, F., & Pratelli, A. (2009). Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities. Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 8(1), 51-71.

MLA:

Fusco, Nicola, Francesco Maggi, and Aldo Pratelli. "Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities." Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 8.1 (2009): 51-71.

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