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.