In this article, we establish a second-order estimate for the solutions to the infinity Laplace equation
where is a bounded domain in , , is decreasing on with and g is normalized regularly varying at zero with index ( ), is positive in , may be vanishing on the boundary. Our analysis is based on Karamata regular variation theory.
Submitted December 18, 2016. Published July 24, 2017.
Math Subject Classifications: 35J55, 35J60, 35J65.
Key Words: Infinity Laplace equation; second order estimate; Karamata regular variation theory; comparison functions.
Show me the PDF file (289 KB), TEX file for this article.
| Ling Mi |
College of Mathematics and Statistics
Linyi, Shang Dong 276005, China
email: firstname.lastname@example.org, email@example.com
Return to the EJDE web page