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
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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