activity
20082021
most citedResults on entire solutions for a degenerate critical elliptic equation with anisotropic coefficients

5 citations · 5 across the 11 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.AP2014

Nontrivial solutions for periodic Schrödinger equations with sign-changing nonlinearities

Shaowei Chen, Conglei Wang, Liqin Xiao

Using a new infinite-dimensional linking theorem, we obtained nontrivial solutions for strongly indefinite periodic Schrödinger equations with sign-changing nonlinearities.

math.AP2014

Existence of nontrivial solutions for periodic Schrodinger equations with new nonlinearities

Shaowei Chen, Dawei Zhang

We study the Schrödinger equation: \begin{eqnarray} - Δu+V(x)u+f(x,u)=0,\qquad u\in H^{1}(\mathbb{R}^{N}),\nonumber \end{eqnarray} where is periodic and is periodic in the…

math.AP2014

Existence of a nontrivial solution for a strongly indefinite periodic Schrodinger-Poisson system

Shaowei Chen, Liqian Xiao

We consider the Schrödinger-Poisson system \begin{eqnarray}\left\{\begin{array} [c]{ll} -Δu+V(x) u+|u|^{p-2}u=λϕu, & \mbox{in}\mathbb{R}^{3},\\ -Δϕ= u^{2}, & \mbox{in}\mathbb{R}^{3…