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

Author： Medkova Dagmar  

Publisher： Springer Publishing Company

ISSN： 0011-4642

Source： Czechoslovak Mathematical Journal, Vol.55, Iss.2, 2005-06, pp. : 317-340

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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.

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