Soliton solutions for a quasilinear Schrödinger equation
Electronic Journal of Differential Equations, 2013 Summary: Critical point theory is used to show the existence of nontrivial weak solutions to the quasilinear Schrödinger 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.
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