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Soliton solutions for a quasilinear Schrodinger equation
oleh: Duchao Liu
| Format: | Article |
|---|---|
| Diterbitkan: | Texas State University 2013-12-01 |
Deskripsi
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.