We consider the semilinear elliptic equation-Δ u= u^ p-Δ u= up, p> 1 p> 1, u= u (x, t) u= u (x,
t), x ∈\mathbb R^ N_+ x∈ R+ N, t> 0 t> 0, with a dynamical boundary condition. We show …

In this work, we consider Cauchy-type problems for Laplace's equation with a dynamical
boundary condition on a part of the domain boundary. We construct a discrete-in-time …

We study properties of positive solutions of a semilinear elliptic equation with a linear
dynamical boundary condition. We establish the semigroup property for minimal solutions …

We study a spatiotemporal EIT problem with a dynamical boundary condition for the
fractional Dirichlet-to-Neumann operator with a critical exponent. There are three major …

The paper investigates the structure and properties of the set S of all positive solutions to the
singular Dirichlet boundary value problem u ″(t)+ au′(t)/t− au (t)/t 2= f (t, u (t), u′(t)), u (0) …

The numerical solution of the heat equation in unbounded domains (for a 1D problem‐semi‐
infinite line and for a 2D one semi‐infinite strip) is considered. The artificial boundaries are …

We study the Laplacian equation with dynamical boundary condition involving Dirichlet-to-
Neumann operator, critical growth, and Hardy potential. We first prove the existence and …

The Phragmèn-Lindelöf Theorem for a Fully Nonlinear Elliptic Problem with a Dynamical
Boundary Condition | SpringerLink Skip to main content Advertisement SpringerLink Account …

Research Article A Remark on the Blowup of Solutions to the Laplace Equations with
Nonlinear Dynamical Boundary Conditions Page 1 Hindawi Publishing Corporation …

In the present work we analyze semidiscrete and fulldiscrete (finite difference) solutions of
the semilinear parabolic problem with dynamical boundary conditions that can be posed on …