On radial limit functions for entire solutions of second order elliptic equations in R2.

Boivin, André, and Paramonov, Peter V.. "On radial limit functions for entire solutions of second order elliptic equations in R2.." Publicacions Matemàtiques 42.2 (1998): 509-519. <http://eudml.org/doc/41341>.

@article{Boivin1998,
abstract = {Given a homogeneous elliptic partial differential operator L of order two with constant complex coefficients in R2, we consider entire solutions of the equation Lu = 0 for whichlimr→∞ u(reiφ) =: U(eiφ)exists for all φ ∈ [0; 2π) as a finite limit in C. We characterize the possible "radial limit functions" U. This is an analog of the work of A. Roth for entire holomorphic functions. The results seems new even for harmonic functions.},
author = {Boivin, André, Paramonov, Peter V.},
journal = {Publicacions Matemàtiques},
keywords = {Operadores elípticos; Funciones analíticas; Ecuaciones de segundo orden; Ecuaciones diferenciales elípticas; homogeneous elliptic partial differential operator},
language = {eng},
number = {2},
pages = {509-519},
title = {On radial limit functions for entire solutions of second order elliptic equations in R2.},
url = {http://eudml.org/doc/41341},
volume = {42},
year = {1998},
}

TY - JOUR
AU - Boivin, André
AU - Paramonov, Peter V.
TI - On radial limit functions for entire solutions of second order elliptic equations in R2.
JO - Publicacions Matemàtiques
PY - 1998
VL - 42
IS - 2
SP - 509
EP - 519
AB - Given a homogeneous elliptic partial differential operator L of order two with constant complex coefficients in R2, we consider entire solutions of the equation Lu = 0 for whichlimr→∞ u(reiφ) =: U(eiφ)exists for all φ ∈ [0; 2π) as a finite limit in C. We characterize the possible "radial limit functions" U. This is an analog of the work of A. Roth for entire holomorphic functions. The results seems new even for harmonic functions.
LA - eng
KW - Operadores elípticos; Funciones analíticas; Ecuaciones de segundo orden; Ecuaciones diferenciales elípticas; homogeneous elliptic partial differential operator
UR - http://eudml.org/doc/41341
ER -