Inequality of Poincaré-Friedrich's type on Lp spaces

Authors

  • Milutin R. Dostanić Faculty of Mathematics, Studentski trg 16, 11000 Beograd, Serbia & Montenegro Author

Keywords:

Poincaré-Friedrich's inequality, Lp-space

Subjects:

26D10, 35P15

Abstract

In this paper it is demonstrated that the inequality(ıntG|u|pdx)1/pAp(ıntD|u|pdx)1/p,u|D=0,1pınftyholds, where GDR2, D is a convex domain and constant Ap isexpressed in terms of areas of G and~D.

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Published

2005-04-15