Mathematical Institute of the Academy of Sciences of the Czech Republic, Zitna 25, 115 67 Praha 1, Czech Republic, e-mail: email@example.com
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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