A strong maximum principle for differential equations with nonstandard p(x)-growth conditions

In this paper, with some special technics, we give a strong maximum principle for the equations with nonstandard p(x)-growth conditions -div(phi(x, vertical bar del vertical bar)del u)+d(x)f(x, u)=0 in ohm, where phi(x, s), d(x), f(x, u) satisfy some conditions. (c) 2005 Elsevier Inc. All rights reserved.