Good and viscosity solutions of fully nonlinear elliptic equations

Fully Nonlinear ◽

The measurable viscosity solutions for fully nonlinear elliptic equations

Nonlinear Analysis ◽

10.1016/s0362-546x(97)00549-x ◽

1998 ◽

Vol 33 (4) ◽

pp. 401-412 ◽

Author(s):

Guangchang Dong ◽

Chunlai Mu

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Fully Nonlinear ◽

Viscosity solutions to the degenerate oblique derivative problem for fully nonlinear elliptic equations

Mathematische Nachrichten ◽

10.1002/mana.200310280 ◽

2005 ◽

Vol 278 (7-8) ◽

pp. 888-903 ◽

Cited By ~ 4

Author(s):

P. Popivanov ◽

N. Kutev

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Oblique Derivative Problem ◽

Fully Nonlinear ◽

Derivative Problem ◽

On the regularity of viscosity solutions of fully nonlinear elliptic equations

Nonlinear Analysis ◽

10.1016/j.na.2005.01.064 ◽

2005 ◽

Vol 63 (5-7) ◽

pp. e1341-e1350

Author(s):

Jay Kovats

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Fully Nonlinear ◽

Towards a Liouville Theorem for Continuous Viscosity Solutions to Fully Nonlinear Elliptic Equations in Conformal Geometry

Geometric Analysis - Progress in Mathematics ◽

10.1007/978-3-030-34953-0_11 ◽

2020 ◽

pp. 221-244 ◽

Author(s):

YanYan Li ◽

Luc Nguyen ◽

Bo Wang

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Liouville Theorem ◽

Conformal Geometry ◽

Fully Nonlinear ◽

Regularity theory for L-viscosity solutions to fully nonlinear elliptic equations with asymptotical approximate convexity

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2019.06.001 ◽

2019 ◽

Vol 36 (7) ◽

pp. 1869-1902 ◽

Author(s):

Qingbo Huang

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Regularity Theory ◽

Fully Nonlinear ◽

Approximate Convexity ◽

Boundary Regularity for Viscosity Solutions of Fully Nonlinear Elliptic Equations

Communications in Partial Differential Equations ◽

10.1080/03605302.2013.842249 ◽

2014 ◽

Vol 39 (9) ◽

pp. 1694-1717 ◽

Cited By ~ 19

Author(s):

Luis Silvestre ◽

Boyan Sirakov

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Boundary Regularity ◽

Fully Nonlinear ◽

Viscosity solutions to the degenerate oblique derivative problem for fully nonlinear elliptic equations

Comptes Rendus Mathematique ◽

10.1016/s1631-073x(02)02321-x ◽

2002 ◽

Vol 334 (8) ◽

pp. 661-666 ◽

Cited By ~ 3

Author(s):

Petar Popivanov ◽

Nickolai Kutev

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Oblique Derivative Problem ◽

Fully Nonlinear ◽

Derivative Problem ◽

Singular viscosity solutions to fully nonlinear elliptic equations

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2007.10.004 ◽

2008 ◽

Vol 89 (2) ◽

pp. 107-113 ◽

Cited By ~ 21

Author(s):

Nikolai Nadirashvili ◽

Serge Vlăduţ

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Fully Nonlinear ◽

On Derivatives of Viscosity Solutions to Fully Nonlinear Elliptic Equations

Moscow Mathematical Journal ◽

10.17323/1609-4514-2011-11-1-149-155 ◽

2011 ◽

Vol 11 (1) ◽

pp. 149-155

Author(s):

N. Nadirashvili

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Derivatives Of

Regularity for solutions of fully nonlinear elliptic equations with nonhomogeneous degeneracy

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/prm.2020.5 ◽

2020 ◽

pp. 1-23 ◽

Author(s):

Cristiana De Filippis

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Double Phase ◽

Phase Type

Abstract We prove that viscosity solutions to fully nonlinear elliptic equations with degeneracy of double phase type are locally C1, γ-regular.