Unique continuation for solutions of \(p(x)\)-Laplacian equations
Electronic journal of differential equations, Tome 2012 (2012)
We study the unique continuation property for solutions to the quasilinear elliptic equation
where $\Omega$ is a smooth bounded domain in $\mathbb{R}^N$ and $1$ for $x$ in $\Omega$.
| $ \hbox{div}(|\nabla u|^{p(x)-2}\nabla u) +V(x)|u|^{p(x)-2}u=0\quad \hbox{in }\Omega, $ |
@article{EJDE_2012__2012__a21,
author = {Cuadro, Johnny and L\'opez, Gabriel},
title = {Unique continuation for solutions of {\(p(x)\)-Laplacian} equations},
journal = {Electronic journal of differential equations},
year = {2012},
volume = {2012},
zbl = {1239.35055},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a21/}
}
Cuadro, Johnny; López, Gabriel. Unique continuation for solutions of \(p(x)\)-Laplacian equations. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a21/