Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition

DOI10.1007/s00526-015-0856-8zbMath1329.35156OpenAlexW1981019325WikidataQ115387356 ScholiaQ115387356MaRDI QIDQ745582

Kazuhiro Ishige, Tatsuki Kawakami, Marek Fila

Publication date: 14 October 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-015-0856-8

zbMATH Keywords

positive solutionssemilinear elliptic equationdynamical boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (10)

Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition ⋮ Nonlinear boundary value problems relative to one dimensional heat equation ⋮ 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 ⋮ Representation of a class of linear operators with coupled domain in a product space and its applications ⋮ 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 ⋮ Cahn-Hilliard equation on the boundary with bulk condition of Allen-Cahn type ⋮ The Phragmèn-Lindelöf Theorem for a Fully Nonlinear Elliptic Problem with a Dynamical Boundary Condition

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