A quantitative form of Faber-Krahn inequality

作者：Fusco, Nicola^*; Zhang, Yi Ru-Ya

来源：Calculus of Variations and Partial Differential Equations, 2017, 56(5): 138.

DOI：10.1007/s00526-017-1224-7

• MINIMUM PROBLEM
• REGULARITY
• STABILITY
• BOUNDARY

The Faber Krahn inequality states that balls are the unique minimizers of the first eigenvalue of the p-Laplacian among all sets with fixed volume. In this paper we prove a sharp quantitative form of this inequality. This extends to the case p > 1 a recent result proved by Brasco et al. (Duke Mathi 164:1777-1831, 2015) for the Laplacian.

• 出版日期2017-10