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Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations

Article ID Journal Published Year Pages File Type
4609713 Journal of Differential Equations 2016 22 Pages PDF
Abstract

We prove global regularity in weighted Lebesgue spaces for the viscosity solutions to the Dirichlet problem for fully nonlinear elliptic equations. As a consequence, regularity in Morrey spaces of the Hessian is derived as well.

Keywords
Muckenhoupt weightprimary, 35J60Viscosity solutionMorrey space
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations
Authors
Sun-Sig Byun, Mikyoung Lee, Dian K. Palagachev,
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Journal
Journal of Differential Equations
Journal: Journal of Differential Equations
Related Categories
Muckenhoupt weight
primary, 35J60
Viscosity solution
Morrey space
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