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arXiv · 1803.07362

Towards a reversed Faber-Krahn inequality for the truncated Laplacian

Isabeau Birindelli·Giulio Galise·Hitoshi Ishii
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Abstract

We consider the nonlinear eigenvalue problem, with Dirichlet boundary condition, for a class of very degenerate elliptic operators, with the aim to show that, at least for square type domains having fixed volume, the symmetry of the domain maximize the principal eigenvalue, contrary to what happens for the Laplacian.

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Isabeau Birindelli, Giulio Galise, Hitoshi Ishii. 2018-03-20. Towards a reversed Faber-Krahn inequality for the truncated Laplacian. https://arxiv.org/abs/1803.07362

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