Refined geometric Lp Hardy inequalities
Abstract
For a bounded convex domain in RN we prove refined Hardy inequalities that involve the Hardy potential corresponding to the distance to the boundary of , the volume of , as well as a finite number of sharp logarithmic corrections. We also discuss the best constant of these inequalities.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.