On the Phragmén-Lindelöf principle for second-order elliptic equations

DOI10.1016/j.jmaa.2004.04.067zbMath1330.35113OpenAlexW2087641755MaRDI QIDQ1765797

Antonio Vitolo

Publication date: 23 February 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.04.067

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25)

Related Items (21)

Traveling waves for the Fitzhugh-Nagumo system on an infinite channel ⋮ Maximum principle in some unbounded domains for an elliptic operator with unbounded drift ⋮ Singular elliptic equations with directional diffusion ⋮ Unnamed Item ⋮ The Alexandroff-Bakelman-Pucci estimate via positive drift ⋮ Phragmén-Lindelöf theorems for a weakly elliptic equation with a nonlinear dynamical boundary condition ⋮ Phragmén-Lindelöf theorems for equations with nonstandard growth ⋮ On the growth of positive entire solutions of elliptic PDEs and their gradients ⋮ Harnack inequalities and ABP estimates for nonlinear second-order elliptic equations in unbounded domains ⋮ An Alexandrov-Bakelman-Pucci estimate for an anisotropic Laplacian with positive drift in unbounded domains ⋮ A qualitative Phragmèn-Lindelöf theorem for fully nonlinear elliptic equations ⋮ Propagating terraces in a proof of the Gibbons conjecture and related results ⋮ Maximum principles for viscosity solutions of weakly elliptic equations ⋮ Singular solutions of fully nonlinear elliptic equations and applications ⋮ Maximum principles for \(k\)-Hessian equations with lower order terms on unbounded domains ⋮ The Phragmén-Lindelöf theorem for \(L^p\)-viscosity solutions of fully nonlinear parabolic equations with unbounded ingredients ⋮ ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains ⋮ Directional ellipticity on special domains: weak maximum and Phragmén-Lindelöf principles ⋮ The Phragmèn-Lindelöf Theorem for a Fully Nonlinear Elliptic Problem with a Dynamical Boundary Condition ⋮ Phragmén-Lindelöf theorems and \(p\)-harmonic measures for sets near low-dimensional hyperplanes ⋮ Growth of subsolutions to fully nonlinear equations in halfspaces

Cites Work

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• On the maximum principle for complete second-order elliptic operators in general domains.
• On the maximum principle for second-order elliptic operators in unbounded domains
• Uniqueness for the \(n\)-dimensional half space Dirichlet problem
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• Existence results for bellman equations and maximum principles in unbounded domains
• On the alexandroff‐bakelman‐pucci estimate and the reversed hölder inequality for solutions of elliptic and parabolic equations

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