Monotonicity,continuity and differentiability results for the Lp Hardy constant |
| |
Authors: | Gerassimos Barbatis Pier Domenico Lamberti |
| |
Abstract: | We consider the Lp Hardy inequality involving the distance to the boundary for a domain in the n-dimensional Euclidean space. We study the dependence on p of the corresponding best constant and we prove monotonicity, continuity and differentiability results. The focus is on non-convex domains in which case such a constant is in general not explicitly known. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |