scholarly journals Elliptic equations having a singular quadratic gradient term and a changing sign datum

2012 ◽  
Vol 11 (5) ◽  
pp. 1875-1895 ◽  
Author(s):  
Daniela Giachetti ◽  
Francesco Petitta ◽  
Sergio Segura de León
Keyword(s):  
Elliptic Equations ◽  
Gradient Term ◽  
Quadratic Gradient

Explosive solutions of elliptic equations with absorption and nonlinear gradient term

2002 ◽  
Vol 112 (3) ◽  
pp. 441-451 ◽  
Author(s):  
Marius Ghergu ◽  
Constantin Niculescu ◽  
Vicenţiu Rădulescu
Keyword(s):  
Elliptic Equations ◽  
Gradient Term

scholarly journals A Comparison Principle for Some Types of Elliptic Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-10
Author(s):  
Maria Emilia Amendola
Keyword(s):  
Comparison Principle ◽  
Elliptic Equations ◽  
Gradient Term ◽  
Fully Nonlinear ◽  
Viscosity Subsolution ◽  
Bmo Functions

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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