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

Mikyoung Lee

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Source: Crossref

Published: May 31, 2019

DOI: 10.1142/s0219199718500244

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Source abstract

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.

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Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity — Mathematical Frontier Network