Removable singularities for degenerate elliptic Pucci operators

Abstract

In this paper we introduce some fully nonlinear second order operators defined as weighted partial sums of the eigenvalues of the Hessian matrix, arising in geometrical contexts, with the aim to extend maximum principles and removable singularities results to cases of highly degenerate ellipticity.nn

This is the original version of a paper submitted on October 1st, 2014, and accepted for publication in revised form on Advances in Differential Equations, deposited in 2014 at "Dipartimento di Matematica" University of Salerno, "Biblioteca Nazionale Centrale" Roma NR.5018, "Archivio Istituzionale di UNISA" N.11386/4650548 and "MIUR" through the webpage of Antonio Vitolo at the CINECA website

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• Positivity sets of supersolutions of degenerate elliptic equations and the strong maximum principle