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ISRN Mathematical Analysis
Volume 2012 (2012), Article ID 720864, 10 pages
doi:10.5402/2012/720864
A Comparison Principle for Some Types of Elliptic Equations
Dipartimento di Matematica, Università degli Studi di Salerno, Via Ponte don Melillo,
84084 Fisciano, Italy
Received 21 July 2012; Accepted 23 October 2012
Academic Editors: B. Djafari-Rouhani, X. B. Pan, and G. Schimperna
Copyright © 2012 Maria Emilia Amendola. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper a comparison principle between a continuous viscosity supersolution and a continuous viscosity subsolution is presented. The operator of interest is a fully nonlinear uniformly elliptic one with a gradient term which could be noncontinuous and grow like some BMO functions, as shown in the last section.