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arXiv:1806.07303 [math.AP]AbstractReferencesReviewsResources

A Variational Characterisation Of The Second Eigenvalue Of The P-Laplacian On Quasi Open Sets

Nicola Fusco, Shirsho Mukherjee, Yi Ru-Ya Zhang

Published 2018-06-19Version 1

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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