Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations

作者：Byun Sun Sig; Lee Mikyoung^*; Palagachev Dian K

来源：Journal of Differential Equations, 2016, 260(5): 4550-4571.

DOI：10.1016/j.jde.2015.11.025

• Fully nonlinear equation
• Viscosity solution
• Hessian estimates
• Weighted Lebesgue space
• Muckenhoupt weight
• Money space

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 Money spaces of the Hessian is derived as well.

• 出版日期2016-3-5