Mathematics – Analysis of PDEs
Scientific paper
2003-02-26
Mathematics
Analysis of PDEs
11 pages, to appear in Commun. Contemp. Math
Scientific paper
For a bounded convex domain \Omega in R^N we prove refined Hardy inequalities
that involve the Hardy potential corresponding to the distance to the boundary
of \Omega, the volume of $\Omega$, as well as a finite number of sharp
logarithmic corrections. We also discuss the best constant of these
inequalities.
Barbatis Gerassimos
Filippas Stathis
Tertikas Achiles
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