Covering theorems, inequalities on metric spaces and applications to PDE’s
✍ Scribed by Giuseppe Di Fazio; Cristian E. Gutièrrez; Ermanno Lanconelli
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 399 KB
- Volume
- 341
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this work, we establish the intersection property for a family of admissible subsets in a hyperconvex metric space, and we apply this intersection property to get generalized KKM theorems, coincidence theorems, variational inequality theorems and minimax inequality theorems.
We consider an L 2 -Wasserstein type distance \ on the configuration space 1 X over a Riemannian manifold X, and we prove that \-Lipschitz functions are contained in a Dirichlet space associated with a measure on 1 X satisfying certain natural assumptions. These assumptions are in particular fulfill