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

Марек Фила, Kazuhiro Ishige, Tatsuki Kawakami

Type: Article

Publication Date: 2015-04-03

Citations: 17

DOI: https://doi.org/10.1007/s00526-015-0856-8

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Locations

Calculus of Variations and Partial Differential Equations - View

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Works That Cite This (16)

Action	Title	Year	Authors
+ PDF Chat	On a dynamic boundary condition for singular degenerate parabolic equations in a half space	2018	Yoshikazu Giga Nao Hamamuki
+ PDF Chat	Cahn–Hilliard equation on the boundary with bulk condition of Allen–Cahn type	2018	Pierluigi Colli T. Fukao
+	Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition	2015	Марек Фила Kazuhiro Ishige Tatsuki Kawakami
+	Positive Solutions of a Semilinear Elliptic Equation with Singular Dirichlet Boundary Data	2015	Марек Фила Kazuhiro Ishige Tatsuki Kawakami
+	Representation of a Class of Linear Operators with Coupled Domain in a Product Space and Its Applications	2023	Jing Xu Junjie Huang Alatancang Chen
+	The large diffusion limit for the heat equation with a dynamical boundary condition	2018	Марек Фила Kazuhiro Ishige Tatsuki Kawakami
+ PDF Chat	Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition	2019	Марек Фила Kazuhiro Ishige Tatsuki Kawakami Johannes Lankeit
+	Cahn-Hilliard equation on the boundary with bulk condition of Allen-Cahn type	2018	Pierluigi Colli T. Fukao
+	An exterior nonlinear elliptic problem with a dynamical boundary condition	2017	Марек Фила Kazuhiro Ishige Tatsuki Kawakami
+ PDF Chat	The large diffusion limit for the heat equation with a dynamical boundary condition	2020	Марек Фила Kazuhiro Ishige Tatsuki Kawakami

Works Cited by This (21)

Action	Title	Year	Authors
+	Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition	2013	Марек Фила Kazuhiro Ishige Tatsuki Kawakami
+	On the Computation of Blow-Up Solutions of Elliptic Equations with Semilinear Dynamical Boundary Conditions	2004	Miglena N. Koleva
+	Large-time behavior of small solutions of a two-dimensional semilinear elliptic equation with a dynamical boundary condition	2013	Марек Фила Kazuhiro Ishige Tatsuki Kawakami
+	Blow-up of continuous and semidiscrete solutions to elliptic equations with semilinear dynamical boundary conditions of parabolic type	2006	Miglena N. Koleva Lubin G. Vulkov
+	Global solutions for quasilinear parabolic problems	2002	Adrian Constantin Joachim Escher
+	ON THE LAPLACE EQUATION WITH NON-LINEAR DYNAMICAL BOUNDARY CONDITIONS	2006	Enzo Vitillaro
+	Nonlinear elliptic systems with dynamic boundary conditions	1992	Joachim Escher
+ PDF Chat	Blow-up for some equations with semilinear dynamical boundary conditions of parabolic and hyperbolic type	1992	Mokhtar Kirane
+	On a class of superlinear elliptic problems	1977	Haı̈m Brezis R. E. Turner
+	Global solutions of the Laplace equation with a nonlinear dynamical boundary condition	1997	Марек Фила Pavol Quíttner