In this article we prove the existence and uniqueness of entropy solutions for p(x)-Laplace equations with a Radon measure which is absolutely continuous with respect to the relative p(x)-capacity. Moreover, the existence of entropy solutions for weighted p(x)-Laplace equation is also obtained.
Submitted August 26, 2013. Published March 4, 2014.
Math Subject Classifications: 35J70, 35D05, 35D10, 46E35.
Key Words: Variable exponents; entropy solutions; existence; uniqueness.
Show me the PDF file (275 KB), TEX file, and other files for this article.
| Chao Zhang |
Department of Mathematics
Harbin Institute of Technology
Harbin 150001, China
Return to the EJDE web page