On an inequality of Friedrich’s type
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- by Milutin R. Dostanić PDF
- Proc. Amer. Math. Soc. 125 (1997), 2115-2118 Request permission
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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Additional Information
- Milutin R. Dostanić
- Affiliation: Matematicki Fakultet, Studentski trg 16, Beograd, Serbia
- Received by editor(s): November 29, 1995
- Received by editor(s) in revised form: February 7, 1996
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2115-2118
- MSC (1991): Primary 47A30
- DOI: https://doi.org/10.1090/S0002-9939-97-03798-2
- MathSciNet review: 1376758