WIAS Preprint No. 1957, (2014)
Hardy's inequality for functions vanishing on a part of the boundary
- Egert, Moritz
- Haller-Dintelmann, Robert
- Rehberg, Joachim
2010 Mathematics Subject Classification
- 26D10 26D15 42B20 42B37
- Hardy's inequality, uniform fatness, Poincaré's inequality, Sobolev extension operator
We develop a geometric framework for Hardy's inequality on a bounded domain when the functions do vanish only on a closed portion of the boundary.
- Potential Anal., 43 (2015) pp. 49--78.