Phragmén-Lindelöf theorems for nonlinear elliptic equations

DOI10.1007/BF00251912zbMath0645.35031MaRDI QIDQ1103104

Patricio Aviles

Publication date: 1987

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemweak solutionexistencedifferential inequalitysupersolutionsp-harmonicPhragmén-Lindelöf type theorems

Mathematics Subject Classification ID

Related Items (2)

Nonexistence of positive solutions and oscillation criteria for second- order semilinear elliptic inequalities ⋮ Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder

Cites Work

• Über ganze Lösungen der Differentialgleichung \(\Delta u=f(u)\)
• An extension of E. Hopf's maximum principle with an application to Riemannian geometry
• On the inequality \(\Delta u \geqq f (u)\)
• Phragmen-Lindelöf and nonexistence theorems for nonlinear elliptic equations
• Phragmen-Lindelöf and comparison theorems for elliptic equations with mixed boundary conditions
• Extremal barriers on cones with Phragmén-Lindelöf theorems and other applications
• On the inequality \(\Delta u\geq f(u, |grad u|)\)
• Interior estimates for elliptic systems of partial differential equations
• On solutions of δu=f(u)
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• The local regularity of solutions of degenerate elliptic equations
• Differential equations on riemannian manifolds and their geometric applications
• On the Nonexistence of Entire Solutions to Nonlinear Second Order Elliptic Equations
• Elliptic Partial Differential Equations of Second Order
• Isolated Singularities of Solutions of Linear Elliptic Equations
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