Regularity theory for Ln-viscosity solutions to fully nonlinear elliptic equations with asymptotical approximate convexity |
| |
Authors: | Qingbo Huang |
| |
Institution: | Department of Mathematics & Statistics, Wright State University, Dayton, OH 45435, United States of America |
| |
Abstract: | We develop interior and regularity theories for -viscosity solutions to fully nonlinear elliptic equations , where T is approximately convex at infinity. Particularly, regularity theory holds if operator T is locally semiconvex near infinity and all eigenvalues of are at least as . regularity for some Isaacs equations is given. We also show that the set of fully nonlinear operators of regularity theory is dense in the space of fully nonlinear uniformly elliptic operators. |
| |
Keywords: | primary 35J60 secondary 35B65 Fully nonlinear equation Asymptotical approximate convexity Viscosity solution |
本文献已被 ScienceDirect 等数据库收录! |
|