A Harnack inequality for Dirichlet eigenvalues
โ Scribed by Fan Chung; S.-T. Yau
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 90 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We prove an abstract form of Hardy's L 2 inequality, in which the Dirichlet integral is replaced by the Dirichlet form of a general symmetric Markov process. A number of examples are provided.
## Abstract In this note, we prove a Harnack inequality for twoโweight subelliptic __p__ โLaplace operators together with an upper bound of the Harnack constant associated with such inequality. (ยฉ 2006 WILEYโVCH Verlag GmbH & Co. KGaA, Weinheim)
## Abstract We consider the Laplacian in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions leads to a Hardy inequality for the Laplacian. As a byproduct of our method, we obtain a simple proof of a th