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On the Uniqueness Result for the Dirichlet Problem and Invexity

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Author(s): M. Płócienniczak

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXVII;
Issue: 2;
Start page: 209;
Date: 2008;
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Keywords: Dirichlet problem | calculus of variations | invexity | existence | uniqueness

ABSTRACT
We provide an existence and uniqueness theorem for the Dirichlet problem div Hz(yx(y))=ÑxF(y,x(y)).The assumption that both H and F are invex with respect to the second variable is imposed and the direct variational method is applied. The applicationis also shown.
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