Gradient and Hölder estimates for positive solutions of Pucci type equations

DOI10.1016/J.CRMA.2008.03.004zbMath1145.35050OpenAlexW1975368982MaRDI QIDQ927108

Antonio Vitolo, Italo Capuzzo-Dolcetta

Publication date: 22 May 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.03.004

zbMATH Keywords

fully nonlinear elliptic equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (3)

Positive solution of extremal Pucci's equations with singular and sublinear nonlinearity ⋮ Glaeser's type interpolation inequalities ⋮ Lipschitz estimates for partial trace operators with extremal Hessian eigenvalues

Cites Work

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• Interior a priori estimates for solutions of fully nonlinear equations
• Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
• Interior \(C^{2,\alpha}\) regularity theory for a class of nonconvex fully nonlinear elliptic equations.
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• User’s guide to viscosity solutions of second order partial differential equations
• Generalization of a Well-known Inequality

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