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 the can be easily adapted to treat also certain isocapacitary and Cheeger inequalities.
Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities / N. Fusco; F. Maggi; A. Pratelli. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - STAMPA. - VIII:(2009), pp. 51-71.
Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities
MAGGI, FRANCESCO;
2009
Abstract
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 the can be easily adapted to treat also certain isocapacitary and Cheeger inequalities.
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