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arXiv · 1806.07303

A Variational Characterisation of the Second Eigenvalue of the p-Laplacian on Quasi Open Sets

Nicola Fusco·Shirsho Mukherjee·Yi Ru-Ya Zhang
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Abstract

In this article, we prove a minimax characterization 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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Nicola Fusco, Shirsho Mukherjee, Yi Ru-Ya Zhang. 2019-04-27. A Variational Characterisation of the Second Eigenvalue of the p-Laplacian on Quasi Open Sets. https://doi.org/10.1112/plms.12240

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