Calculus of Variations and Geometric Measure Theory
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N. Fusco - S. Mukherjee - Y. R. Y. Zhang

A variational characterisation of the second eigenvalue of the p-Laplacian on quasi open sets

created by fuscon on 19 Jun 2018
modified by mukherjee on 19 Apr 2019


Published Paper

Inserted: 19 jun 2018
Last Updated: 19 apr 2019

Journal: Proc. London Math. Soc.
Volume: 3
Year: 2019
Doi: 10.1112/plms.12240

ArXiv: 1806.07303 PDF


In this article, we prove a minimax characterisation of the second eigenvalue of the p- Laplacian operator on p-quasi open sets, using a construction based on minimizing movements. This leads also to an existence theorem for spectral functionals depending on the first two eigenvalues of the p-Laplacian.


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