Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

On an inequality of Friedrich's type

Author(s): Milutin R. Dostanic
Journal: Proc. Amer. Math. Soc. 125 (1997), 2115-2118.
MSC (1991): Primary 47A30
MathSciNet review: 1376758
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Abstract: In this paper the dependence of the constant $C$ in the inequality $\int _{G} \left | u \right |^{2} dx \leq C \int _{D} \left | \nabla u \right |^{2}\, dx,\, u{\left .\right |}_{\partial D}=0$ on simply connected bounded domains $G \subset D \subset R^{2}$ is found.

References:

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