We study the second best constant problem for logarithmic Sobolev inequalities on complete Riemannian manifolds and investigate its relationship with optimal heat kernel bounds and the existence of extremal functions.
Best constant in critical Sobolev inequalities of second-order in the presence of symmetries
β Scribed by Nicolas Saintier
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 864 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The Cauchy problem for the nonlinear Schro dinger equations is considered in the Sobolev space H nΓ2 (R n ) of critical order nΓ2, where the embedding into L (R n ) breaks down and any power behavior of interaction works as a subcritical nonlinearity. Under the interaction of exponential type the ex
## Abstract The effective elastic constants of textured polycrystalline materials are calculated in two approximations on the basis of a minimum energy assumption which is more realistic than the VOIGT and REUSS assumptions. The formulae are specified for the case of cubic crystal symmetry and orth