2 citations · 3 across the 8 of their papers we have counts for
9 papers
Standing waves for 6-superlinear Chern-Simons-Schrödinger systems with indefinite potentials
Shuai Jiang, Shibo Liu
In this paper we consider 6-superlinear Chern-Simons-Schrödinger systems. In contrast to most studies, we consider the case where the potential is indefinite so that the Schröd…
Quasilinear Schrödinger equations with concave and convex nonlinearities
Shibo Liu, Li-Feng Yin
In this paper, we consider the following quasilinear Schrödinger equation \begin{align*} -Δu-uΔ(u^{2})=k(x)\left\vert u\right\vert ^{q-2}u-h(x)\left\vert u\right\vert ^{s-2}u\text{…
On quasilinear elliptic problems with finite or infinite potential wells
Shibo Liu
We consider quasilinear elliptic problems of the form \[ -\operatorname{div}\big(ϕ(|\nabla u|)\nabla u\big)+V(x)ϕ(|u|)u=f(u)\qquad u\in W^{1,Φ}(\mathbb{R}^{N}), \] where and $f…
On the Schrödinger-Poisson system with indefinite potential and -sublinear nonlinearity
Sunra J. N. Mosconi, Shibo Liu
We consider a class of stationary Schrödinger-Poisson systems with a general nonlinearity and coercive sign-changing potential so that the Schrödinger operator is…
Solutions for quasilinear fourth order elliptic equations on with sign-changing potential
Shibo Liu, Zhihan Zhao
We obtain existence and multiplicity results for quasilinear fourth order elliptic equations on with sign-changing potential. Our results generalize some recent re…
On the existence of vectors dual to a set of linear functionals
Shibo Liu
We give a simple proof of a crucial lemma that is established in [1, Lemma 2.1] by induction, and plays important roles in that paper and [2].