Singular viscosity solutions to fully nonlinear elliptic equations

Journal des Mathematiques Pures et Appliquees

Volumn 89, Issue 2, 2008, Pages 107-113

  Nadirashvili, Nikolai ^a   Vlǎduţ, Serge ^b  

^a UNIVERSITÉ DE PROVENCE   (France)

^b IML CNRS   (France)

Author keywords

Dirichlet problem; Fully nonlinear elliptic equations; Viscosity solutions

Indexed keywords

EID: 38749091389     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matpur.2007.10.004     Document Type: Article

References (6)

1. Caffarelli L., and Cabré X. Fully Nonlinear Elliptic Equations (1995), Amer. Math. Soc., Providence, RI
2. Crandall M.G., Ishii H., and Lions P.-L. User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. (N.S.) 27 1 (1992) 1-67
3. Gilbarg D., and Trudinger N. Elliptic Partial Differential Equations of Second Order. second ed. (1983), Springer-Verlag, Berlin
4. Krylov N.V. Nonlinear Elliptic and Parabolic Equations of Second Order (1987), Reidel
5. N. Nadirashvili, S. Vlǎduţ, Nonclassical solutions of fully nonlinear elliptic equations, Geom. Funct. Anal. 17 (4) 2007
6. Nadirashvili N., and Yuan Y. Homogeneous solutions to fully nonlinear elliptic equation. Proc. Amer. Math. Soc. 134 (2006) 1647-1649