Geodesic
Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
Electronic journal of differential equations, Tome 2014 (2014)
This article concerns the existence and multiplicity of solutions to a class of $p(x)$-Laplacian equations. We introduce a revised Ambrosetti-Rabinowitz condition, and show that the problem has a nontrivial solution and infinitely many solutions.
Classification : 35J60, 35J20, 58E30
Keywords: $p(x)$-Laplacian, variational method, radial solution, ambrosetti-rabinowitz condition 
@article{EJDE_2014__2014__a69,
     author = {Ge,  Bin and Zhou,  Qingmei},
     title = {Existence and multiplicity of solutions for {\(p(x)\)-Laplacian} equations in \(\mathbb {R^N\)}},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1323.35024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a69/}
}
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%A Zhou,  Qingmei
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%J Electronic journal of differential equations
%D 2014
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%F EJDE_2014__2014__a69
Ge,  Bin; Zhou,  Qingmei. Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\). Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a69/