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 Morrey spaces of the Hessian is derived as well.
Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations / Byun, Sun-Sig; Lee, Mikyoung; Palagachev, Dian K.. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 260:5(2016), pp. 4550-4571. [10.1016/j.jde.2015.11.025]
Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations
Palagachev, Dian K.
2016-01-01
Abstract
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 Morrey spaces of the Hessian is derived as well.File in questo prodotto:
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