Geodesic
Soliton solutions for a quasilinear Schrödinger equation
Electronic journal of differential equations, Tome 2013 (2013)
In this article, critical point theory is used to show the existence of nontrivial weak solutions to the quasilinear Schrodinger equation

$ -\Delta_p u-\frac{p}{2^{p-1}}u\Delta_p(u^2)=f(x,u) $

in a bounded smooth domain $\Omega\subset\mathbb{R}^{N}$ with Dirichlet boundary conditions.
Classification : 35B38, 35D05, 35J20
Keywords: quasilinear Schrödinger equation, soliton solution, critical point theorem, Fountain theorem, dual Fountain theorem 
@article{EJDE_2013__2013__a142,
     author = {Liu,  Duchao},
     title = {Soliton solutions for a quasilinear {Schr\"odinger} equation},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1288.35179},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a142/}
}
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TI  - Soliton solutions for a quasilinear Schrödinger equation
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LA  - en
ID  - EJDE_2013__2013__a142
ER  - 
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%A Liu,  Duchao
%T Soliton solutions for a quasilinear Schrödinger equation
%J Electronic journal of differential equations
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%F EJDE_2013__2013__a142
Liu,  Duchao. Soliton solutions for a quasilinear Schrödinger equation. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a142/