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

$ \hbox{div}(|\nabla u|^{p(x)-2}\nabla u) +V(x)|u|^{p(x)-2}u=0\quad \hbox{in }\Omega, $

where $\Omega$ is a smooth bounded domain in $\mathbb{R}^N$ and $1$ for $x$ in $\Omega$.
Classification : 35D05, 35J60, 58E05
Keywords: $p(x)$-Laplace operator, unique continuation
@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/}
}
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AU  - López,  Gabriel
TI  - Unique continuation for solutions of \(p(x)\)-Laplacian equations
JO  - Electronic journal of differential equations
PY  - 2012
VL  - 2012
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LA  - en
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%A López,  Gabriel
%T Unique continuation for solutions of \(p(x)\)-Laplacian equations
%J Electronic journal of differential equations
%D 2012
%V 2012
%U http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a21/
%G en
%F 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/