Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications
Files
Date
2019-07-17
Authors
Feo, Filomena
Paderni, Gabriella
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we prove a Logarithmic Sobolev type inequality and a Poincare type inequality for functions in the anisotropic Gaussian Sobolev space. As an application we study a class of equations, whose anisotropic elliptic condition is given in term of the density of Gauss measure. Finally some extensions of the main results are given for a class of weighted (not Gaussian one) anisotropic Sobolev spaces.
Description
Keywords
Gauss measure, Logarithmic Sobolev-Poincare inequality, Anisotropic spaces
Citation
Feo, F., & Paderni, G. (2019). Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications. <i>Electronic Journal of Differential Equations, 2019</i>(89), pp. 1-15.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.