First eigenvalue and maximum principle for fully nonlinear singular operators

zbMATH Open1132.35427arXivmath/0407404MaRDI QIDQ2434034

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Publication date: 31 October 2006

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/math/0407404

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