Refined geometric Lp Hardy inequalities
G. Barbatis, S. Filippas, A. Tertikas
Abstract
For a bounded convex domain Ωin RN we prove refined Hardy inequalities that involve the Hardy potential corresponding to the distance to the boundary of Ω, the volume of Ω, as well as a finite number of sharp logarithmic corrections. We also discuss the best constant of these inequalities.
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