A fully anisotropic Sobolev inequality

Authors
Cianchi, A
Citation
A. Cianchi, A fully anisotropic Sobolev inequality, PAC J MATH, 196(2), 2000, pp. 283-294
Citations number
15
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
196
Issue
2
Year of publication
2000
Pages
283 - 294
Database
ISI
SICI code
0030-8730(200012)196:2<283:AFASI>2.0.ZU;2-D
Abstract
We prove a Sobolev type inequality for real-valued weakly differentiable fu nctions on R-n, decaying to 0 at infinity, involving the integral of a conv ex function of the full gradient.