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math.AP2018
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 -Laplacian defined as $\mbox{div}(|\nabla u|^{p(x)-2} \nabla u).$ Our exte…
math.AP2018★ 1 cited
n-Kirchhoff Choquard equations with exponenetial nonlinearity
Rakesh Arora, Jacques Giacomoni, Tuhina Mukherjee +1
This article deals with the study of the following Kirchhoff equation with exponential nonlinearity of Choquard type (see below). We use the variational method in the light…