Gradient estimates in Orlicz spaces for nonlinear elliptic equations with BMO nonlinearity in nonsmooth domains

2011 ◽  
Vol 23 (4) ◽  
Author(s):  
Sun-Sig Byun
Keyword(s):  
Elliptic Equations ◽  
Orlicz Spaces ◽  
Nonlinear Elliptic Equations ◽  
Gradient Estimates ◽  
Nonlinear Elliptic ◽  
Nonsmooth Domains

Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity

2019 ◽  
Vol 21 (04) ◽  
pp. 1850024 ◽  
Author(s):  
Mikyoung Lee
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Operator ◽  
Orlicz Spaces ◽  
Nonlinear Elliptic Equations ◽  
Fully Nonlinear Elliptic Equations ◽  
Fully Nonlinear ◽  
Nonlinear Elliptic ◽  
Regularity Estimates ◽  
Hessian Estimates ◽  
Asymptotic Convexity

We prove interior Hessian estimates in the setting of weighted Orlicz spaces for viscosity solutions of fully nonlinear, uniformly elliptic equations [Formula: see text] under asymptotic assumptions on the nonlinear operator [Formula: see text] The results are further extended to fully nonlinear, asymptotically elliptic equations.

scholarly journals Gradient estimates in Orlicz space for nonlinear elliptic equations

2008 ◽  
Vol 255 (8) ◽  
pp. 1851-1873 ◽  
Author(s):  
Sun-Sig Byun ◽  
Fengping Yao ◽  
Shulin Zhou
Keyword(s):  
Orlicz Space ◽  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Gradient Estimates ◽  
Nonlinear Elliptic

scholarly journals Gradient estimates and comparison principle for some nonlinear elliptic equations

2015 ◽  
Vol 14 (3) ◽  
pp. 897-922 ◽  
Author(s):  
Maria Francesca Betta ◽  
Rosaria Di Nardo ◽  
Anna Mercaldo ◽  
Adamaria Perrotta
Keyword(s):  
Comparison Principle ◽  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Gradient Estimates ◽  
Nonlinear Elliptic
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