On the Dirichlet problem generated by the Maz’ya–Sobolev inequality
✍ Scribed by A. I. Nazarov
- Book ID
- 120914066
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 338 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0944-2669
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper we study the nonlinear elliptic problem driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality), that is where Ω ⊂ R N is a bounded domain and p : Ω → R is a continuous function satisfying some given assumptions. The approach used in this pap
We show that transport inequalities, similar to the one derived by M. Talagrand (1996, Geom. Funct. Anal. 6, 587 600) for the Gaussian measure, are implied by logarithmic Sobolev inequalities. Conversely, Talagrand's inequality implies a logarithmic Sobolev inequality if the density of the measure i