Chao Zhang
Abstract:
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.
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Chao Zhang Department of Mathematics Harbin Institute of Technology Harbin 150001, China email: czhangmath@hit.edu.cn |
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