First eigenvalue and Maximum principle for fully nonlinear singular operators

Mathematics – Analysis of PDEs

Scientific paper

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35 pages, 0 figures

Scientific paper

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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