Author:
Wang Yixuan,Huang Xianjiu
Abstract
<abstract><p>This article is devoted to study the following quasilinear Schrödinger system with super-quadratic condition:</p>
<p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} \left\{\begin{matrix} -\Delta u+V_{1}(x)u-\Delta (u^{2})u = h(u,v),\ x\in \mathbb{R}^{N},\\ -\Delta v+V_{2}(x)v-\Delta (v^{2})v = g(u,v),\ x\in \mathbb{R}^{N},\\ \end{matrix}\right. \end{equation*} $\end{document} </tex-math></disp-formula></p>
<p>where $ N \geq3 $, $ V_{1}(x) $, $ V_{2}(x) $ are variable potentials and $ h $, $ g $ satisfy some conditions. By establishing a suitable Nehari-Pohožaev type constraint set and considering related minimization problem, we prove the existence of ground states.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
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