𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Poincaré inequalities in reflexive cones

✍ Scribed by Petru Jebelean; Radu Precup


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
224 KB
Volume
24
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis


We present an abstract result concerning Poincaré inequalities in cones. Some examples in Sobolev spaces are provided. We also discuss an application to a priori bounds of solutions for a general boundary value problem involving the vector p-Laplacian operator.


📜 SIMILAR VOLUMES


On Weighted Poincaré Inequalities
✍ Andrea Gianchi; David E. Edmunds; Petr Gurka 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 895 KB

We are concerned with the problem of finding sharp summability conditions on the wvights which render certain weighted inequalities of PoincarB-type true. The conditions we find ixiitsist of proper integral balances between the growths of the rearrangements of the weights. ## I . Introduction We

Martingales, Poincaré Type Inequalities,
✍ Michael Schmuckenschläger 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 354 KB

Using martingale techniques we will prove several deviation inequalities for diffusion processes in a compact Riemannian manifold and Le vy processes in euclidean space. We also deduce deviation inequalities from Poincare type inequalities in the abstract setting of Dirichlet forms. We thus obtain,