scholarly journals Regularity of renormalized solutions to nonlinear elliptic equations away from the support of measure data

2018 ◽  
Vol 69 (2) ◽  
pp. 379-390
Author(s):  
Andrea Dall'Aglio ◽  
Sergio Segura de León
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Measure Data ◽  
Renormalized Solutions ◽  
Nonlinear Elliptic

scholarly journals Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L 1-data

2021 ◽  
Vol 7 (2) ◽  
pp. 277-298
Author(s):  
Mostafa El Moumni ◽  
Deval Sidi Mohamed
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Variable Exponents ◽  
Renormalized Solutions ◽  
Nonlinear Elliptic ◽  
Anisotropic Elliptic Equations

Abstract We prove in this paper some existence and unicity results of entropy and renormalized solutions for some nonlinear elliptic equations with general anisotropic diffusivities and variable exponents. The data are assumed to be merely integrable.

Sign in / Sign up

Export Citation Format

Share Document