**
Czechoslovak Mathematical Journal, Vol. 55, No. 2, pp. 317-340, 2005
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#
Boundedness of the solution of the third problem

for the Laplace equation

##
Dagmar Medkova

Mathematical Institute of the Academy of Sciences of the Czech Republic, Zitna 25, 115 67 Praha 1, Czech Republic, e-mail: ` medkova@math.cas.cz`

**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.

**Keywords:** third problem, Laplace equation

**Classification (MSC 2000):** 35B65, 35J05, 35J25, 31B10

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