5 citations · 5 across the 11 of their papers we have counts for
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Higher topological type semiclassical states for fractional nonlinear elliptic equations
Shaowei Chen, Tianxiang Gou
In this paper, we are concerned with semiclassical states to the following fractional nonlinear elliptic equation, \begin{align*} \eps^{2s}(-Δ)^s u + V(x) u=\mathcal{N}(|u|)u \quad…
Higher topological type semiclassical states for Sobolev critical Dirac equations with degenerate potential
Shaowei Chen, Tianxiang Gou
In this paper, we are concerned with semiclassical states to the following Sobolev critical Dirac equation with degenerate potential, \begin{align*} -\textnormal{i} \eps α\cdot \na…
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.
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…
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…
Existence of nontrivial solutions for asymptotically linear periodic Schrödinger equations
Shaowei Chen, Dawei Zhang
We study the Schrödinger equation: \begin{equation} - Δu+V(x)u=f(x,u) ,\qquad u\in H^{1}(\mathbb{R}^{N}),\nonumber \end{equation} where is periodic and is periodic in the $…