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.
A variational characterization of the second eigenvalue of the p-Laplacian on quasi open sets / Fusco, Nicola; Mukherjee, Shirsho; Ru-Ya Zhang, Yi. - In: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6115. - 119:3(2019), pp. 579-612. [10.1112/plms.12240]
A variational characterization of the second eigenvalue of the p-Laplacian on quasi open sets
Nicola Fusco
;
2019
Abstract
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.File in questo prodotto:
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