entropy solutions for nonlinear elliptic equations with variable exponents
;Chao Zhang
icsoft 2006 - 1st international conference on software and data technologies, proceedings2014Vol. 2014pp. 1-14
94
zhang2014electronicentropy
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.