On the maximum principle for second-order elliptic operators in unbounded domains

DOI10.1016/S1631-073X(02)02267-7zbMath1004.35039OpenAlexW1992065030MaRDI QIDQ1600115

Vittorio Cafagna, Antonio Vitolo

Publication date: 6 February 2003

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

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02267-7

zbMATH Keywords

Alexandroff-Bakelman-Pucci estimateweak boundary Harnack inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Maximum principles in context of PDEs (35B50) Second-order elliptic equations (35J15)

Related Items (15)

Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients ⋮ Maximum principle in some unbounded domains for an elliptic operator with unbounded drift ⋮ Singular elliptic equations with directional diffusion ⋮ The Alexandroff-Bakelman-Pucci estimate via positive drift ⋮ On the maximum principle for complete second-order elliptic operators in general domains. ⋮ Harnack inequalities and ABP estimates for nonlinear second-order elliptic equations in unbounded domains ⋮ A qualitative Phragmèn-Lindelöf theorem for fully nonlinear elliptic equations ⋮ A note on the maximum principle for second-order elliptic equations in general domains ⋮ On the Phragmén-Lindelöf principle for second-order elliptic equations ⋮ Maximum principles for viscosity solutions of weakly elliptic equations ⋮ THE ALEKSANDROV–BAKELMAN–PUCCI ESTIMATES FOR SINGULAR FULLY NONLINEAR OPERATORS ⋮ ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains ⋮ Regularity properties for a class of non-uniformly elliptic Isaacs operators ⋮ Directional ellipticity on special domains: weak maximum and Phragmén-Lindelöf principles ⋮ Lipschitz estimates for partial trace operators with extremal Hessian eigenvalues

Cites Work

• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• On the alexandroff‐bakelman‐pucci estimate and the reversed hölder inequality for solutions of elliptic and parabolic equations
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