Abstract

This paper deals with weighted boundary limits of polyharmonic functions on a bounded Lipschitz domain G with finite Dirichlet-type integral. There are many known results about the existence of angular limits for harmonic functions. Recently, tangential behaviours are studied mainly for harmonic functions. Our aim in this paper is to study the existence os weighted limit: limk(x)u(x) as x tends to the bounded, the limit is replaced by the usual tangential limit.

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