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.
2016
http://www.sciencedirect.com/science/article/pii/S0022039615006312
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/59921
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