First eigenvalue and Maximum principle for fully nonlinear singular operators

2004/07/23 by I. Birindelli, Birindelli, I., F. Demengel +1 · 2 citations
Mathematics · #35J60 #35J70 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35J60 #msc:35J70

paper · pdf · doi:10.48550/arxiv.math/0407404

35 pages, 0 figures

arxiv created 2004/07/23 · arxiv updated 2009/12/01

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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