First eigenvalue and Maximum principle for fully nonlinear singular operators

I. Birindelli; F. Demengel

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First eigenvalue and Maximum principle for fully nonlinear singular operators

I. Birindelli·F. Demengel

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Abstract

Through the Maximum principle we define the principal eigenvalue for a class of fully-nonlinear operators that are the non-variational equivalent of the p-Laplacian. We also obtain some a priori Holder estimates for non-negative solutions below that eigenvalue.

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I. Birindelli, F. Demengel. 2004-07-23. First eigenvalue and Maximum principle for fully nonlinear singular operators. https://arxiv.org/abs/math/0407404

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