Fusco, Nicola; Maggi, Francesco; Pratelli, Aldo
Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5 : Tome 8 (2009) no. 1 , p. 51-71
Zbl 1176.49047 | MR 2512200 | 1 citation dans Numdam
URL stable : http://www.numdam.org/item?id=ASNSP_2009_5_8_1_51_0

Classification:  49R50,  35J20,  49J40,  26D20
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.

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