Publication Cover
Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 6
83
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Comparison and regularity results for degenerate elliptic equations related to Gauss measure

&
Pages 915-933 | Received 17 Jan 2009, Accepted 03 Feb 2010, Published online: 18 May 2010
 

Abstract

This article deals with a Dirichlet problem relative to a linear elliptic equation with zero-order terms, whose ellipticity condition is given in terms of the function ν(x)ϕ(x), where is the density of Gauss measure, ν(x) is a nonnegative integrable function. Using the notion of rearrangement with respect to Gauss measure, we prove a comparison result with a problem of the same type defined in a half space, with data depending only on the first variable. Also, some regularity results for the solutions in Lorentz–Zygmund spaces are obtained by us.

AMS Subject Classifications::

Acknowledgements

This project was supported by NSFC(No:10401009) and NCET of China (No:060275).

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,361.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.