Geodesic
Boundedness of the solution of the third problem for the Laplace equation
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 2, pp. 317-340

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A necessary and sufficient condition for the boundedness of a solution of the third problem for the Laplace equation is given. As an application a similar result is given for the third problem for the Poisson equation on domains with Lipschitz boundary.
Classification : 31B10, 35B45, 35B65, 35J05, 35J25
Keywords: third problem; Laplace equation 
@article{CMJ_2005__55_2_a3,
     author = {Medkov\'a, Dagmar},
     title = {Boundedness of the solution of the third problem for the {Laplace} equation},
     journal = {Czechoslovak Mathematical Journal},
     pages = {317--340},
     publisher = {mathdoc},
     volume = {55},
     number = {2},
     year = {2005},
     mrnumber = {2137140},
     zbl = {1081.35013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2005__55_2_a3/}
}
TY  - JOUR
AU  - Medková, Dagmar
TI  - Boundedness of the solution of the third problem for the Laplace equation
JO  - Czechoslovak Mathematical Journal
PY  - 2005
SP  - 317
EP  - 340
VL  - 55
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2005__55_2_a3/
LA  - en
ID  - CMJ_2005__55_2_a3
ER  - 
%0 Journal Article
%A Medková, Dagmar
%T Boundedness of the solution of the third problem for the Laplace equation
%J Czechoslovak Mathematical Journal
%D 2005
%P 317-340
%V 55
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2005__55_2_a3/
%G en
%F CMJ_2005__55_2_a3
Medková, Dagmar. Boundedness of the solution of the third problem for the Laplace equation. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 2, pp. 317-340. http://geodesic.mathdoc.fr/item/CMJ_2005__55_2_a3/