Boundedness of the solution of the third problem for the Laplace equation

Dagmar Medková

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 2, page 317-340
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Medková, Dagmar. "Boundedness of the solution of the third problem for the Laplace equation." Czechoslovak Mathematical Journal 55.2 (2005): 317-340. <http://eudml.org/doc/30947>.

@article{Medková2005,
abstract = {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.},
author = {Medková, Dagmar},
journal = {Czechoslovak Mathematical Journal},
keywords = {third problem; Laplace equation; third problem; Laplace equation},
language = {eng},
number = {2},
pages = {317-340},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Boundedness of the solution of the third problem for the Laplace equation},
url = {http://eudml.org/doc/30947},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Medková, Dagmar
TI - Boundedness of the solution of the third problem for the Laplace equation
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 2
SP - 317
EP - 340
AB - 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.
LA - eng
KW - third problem; Laplace equation; third problem; Laplace equation
UR - http://eudml.org/doc/30947
ER -

References

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