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On an inequality of Friedrich's type
Authors:Milutin R. Dostanic
Affiliation:Matematicki Fakultet, Studentski trg 16, Beograd, Serbia
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.

Keywords:Boundary value problems   Cauchy operator
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