Open AccessA Comparison Principle for Some Types of Elliptic Equations
Author(s) -
Maria Emilia Amendola
Publication year - 2012
Publication title -
isrn mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-4665
pISSN - 2090-4657
DOI - 10.5402/2012/720864
Subject(s) - nonlinear system , mathematics , operator (biology) , viscosity , mathematical analysis , term (time) , elliptic operator , section (typography) , computer science , physics , thermodynamics , chemistry , biochemistry , repressor , quantum mechanics , transcription factor , gene , operating system
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.
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