Article
Regularity Theory for LN-Viscosity Solutions to Fully Nonlinear Elliptic Equations With Asymptotical Approximate Convexity
Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Document Type
Article
Publication Date
11-1-2019
Abstract
We develop interior W2,p,μ and W2,BMO regularity theories for Ln-viscosity solutions to fully nonlinear elliptic equations T(D2u,x)=f(x), where T is approximately convex at infinity. Particularly, W2,BMO regularity theory holds if operator T is locally semiconvex near infinity and all eigenvalues of D2T(M) are at least −C‖M‖−(1+σ0) as M→∞. W2,BMO regularity for some Isaacs equations is given. We also show that the set of fully nonlinear operators of W2,BMO regularity theory is dense in the space of fully nonlinear uniformly elliptic operators.
DOI
10.1016/j.anihpc.2019.06.001
Citation Information
Qingbo Huang. "Regularity Theory for LN-Viscosity Solutions to Fully Nonlinear Elliptic Equations With Asymptotical Approximate Convexity" Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire Vol. 36 Iss. 7 (2019) p. 1869 - 1902 ISSN: 02941449 Available at: http://works.bepress.com/qingbo_huang/6/