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A Nonlocal Anisotropic Eigenvalue Problem by Piscitelli, Gianpaolo is a scholarly article available to read on EtoBox.

What is A Nonlocal Anisotropic Eigenvalue Problem about?

We determine the shape which minimizes, among domains with given measure, the first eigenvalue of the anisotropic laplacian perturbed by an integral of the unknown function. Using also some properties related to the associated \lq\lq twisted\rq\rq problem, we show that, this problem displays a \emph{saturation} phenomenon: the first eigenvalue increases with the weight up to a critical value and then remains constant.

Author

Piscitelli, Gianpaolo

Published

2020

Language

EN