Harmonic functions satisfying a radiation boundary condition

Blow-up behavior of Planar Harmonic Functions Satisfying a Certain Exponential Neumann Boundary Condition

In this paper we provide a detailed analysis of the limiting behaviour of some very general families of solutions to the boundary value problem ∆v = 0 in Ω, ∂v/∂n = λ sinh(v) on ∂Ω, as λ → 0. The existence of countably many of these families has already been established in the papers [4] and [6].

On functions with the derivative satisfying a geometric condition

In this paper, we prove some properties of the analytic functions whose derivatives takes values outside of a parabola. Some applications are given. 2008 Elsevier Inc. All rights reserved.

A radiation condition for time-harmonic elastic waves in half-spaces with free boundary∗

In this work we deduce an explicit Sommerfeld-type radiation condition able to prove uniqueness for the problem of outgoing wave propagation in isotropic elastic half-spaces with free boundary condition. The expression is obtained by a rigorous asymptotic analysis of the Green’s function associated with this problem. Observe that this is an exterior problem with unbounded frontier. The main dif...

On satisfying the radiation condition in free-surface flows

The right to post the definitive version of the contribution as published at Cambridge Journals Online (in PDF or HTML form) in the Institutional Repository of the institution in which they worked at the time the paper was first submitted, or (for appropriate journals) in PubMed Central or UK PubMed Central, no sooner than one year after first publication of the paper in the journal, subject to...

Boundary singularities of N -harmonic functions