Gradient estimates for the $p(x)$-Laplacian equation in $\mathbb R^N$
Volume 114 / 2015
Annales Polonici Mathematici 114 (2015), 45-65
MSC: Primary 35J15, 35J92; Secondary 35B45, 35B65.
DOI: 10.4064/ap114-1-4
Abstract
Under some assumptions on the function $p(x)$, we obtain global gradient estimates for weak solutions of the $p(x)$-Laplacian type equation in $\mathbb R^N$.
