In this paper, we establish global Sobolev a priori estimates for L p-viscosity solutions of fully nonlinear elliptic equations as follows: F (D 2 u, D u, u, x)= f (x) in Ω u (x)= φ (x) on∂ Ω by …
We survey recent asymptotic methods introduced in regularity theory for fully nonlinear elliptic equations. Our presentation focuses mainly on the recession function. We detail the …
In this manuscript, we derive Schauder estimates for viscosity solutions to non-convex fully nonlinear second-order parabolic equations\[\partial_t uF (x, t, D^ 2u)= f (x, t)\quad\text …
The purpose of this work is to produce a regularity theory for a class of parabolic Isaacs equations. Our techniques are based on approximation methods which allow us to connect …
A Teoria de regularidade para soluçoes no sentido da viscosidade de equaçoes elıpticas totalmente nao-lineares é um tópico de muito interesse para vários pesquisadores. Um dos …
M Lee, J Ok - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
The approach using the large-M-inequality principle introduced by Acerbi and Mingione [2] has been broadly used in W 1, p-regularity theory for nonlinear equations in divergence …
M Lee, J Ok - Mathematical Methods in the Applied Sciences, 2022 - search.ebscohost.com
Local estimates for fully nonlinear parabolic equations in weighted spaces Page 1 Received: 12 November 2020 Accepted: 10 January 2021 DOI: 10.1002/mma.7259 SPECIAL ISSUE PAPER …