A picone Identity for variable exponent operators and applications

Rakesh Arora, Jacques Giacomoni, Guillaume Warnault

In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the $p(x)$-Laplacian defined as $\mbox{div}(|\nabla u|^{p(x)-2} \nabla u).$ Our exte…