Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition

DOI10.1016/j.matpur.2015.11.014zbMath1344.35055OpenAlexW2187745547MaRDI QIDQ280827

Kazuhiro Ishige, Tatsuki Kawakami, Marek Fila

Publication date: 10 May 2016

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2015.11.014

zbMATH Keywords

Phragmén-Lindelöf theoremsemilinear elliptic equationminimal solutionsdynamical boundary condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (5)

An exterior nonlinear elliptic problem with a dynamical boundary condition ⋮ Positive solutions of a semilinear elliptic equation with singular Dirichlet boundary data ⋮ Phragmén-Lindelöf theorems for a weakly elliptic equation with a nonlinear dynamical boundary condition ⋮ The large diffusion limit for the heat equation with a dynamical boundary condition ⋮ On a dynamic boundary condition for singular degenerate parabolic equations in a half space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition
• Estimates on the Green's function and existence of positive solutions of nonlinear singular elliptic equations in the half space
• Blow-up of continuous and semidiscrete solutions to elliptic equations with semilinear dynamical boundary conditions of parabolic type
• Blow-up for some equations with semilinear dynamical boundary conditions of parabolic and hyperbolic type
• Nonlinear elliptic systems with dynamic boundary conditions
• Superlinear indefinite elliptic problems and nonlinear Liouville theorems
• Global existence for elliptic equations with dynamic boundary conditions
• Global solutions for quasilinear parabolic problems
• Global nonexistence without blow-up for an evolution problem
• The absence of solutions of elliptic systems with dynamic boundary conditions
• Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition
• Convergence to the Poisson kernel for the Laplace equation with a nonlinear dynamical boundary condition
• Large-time behavior of small solutions of a two-dimensional semilinear elliptic equation with a dynamical boundary condition
• Asymptotic analysis for the eikonal equation with the dynamical boundary conditions
• Nonexistence of Global Solutions to an Elliptic Equation with a Dynamical Boundary Condition
• On a class of superlinear elliptic problems
• Large-Scale Scientific Computing
• ON THE LAPLACE EQUATION WITH NON-LINEAR DYNAMICAL BOUNDARY CONDITIONS
• Nonlinear elliptic problems with dynamical boundary conditions of reactive and reactive-diffusive type

This page was built for publication: Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition