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math.AP2022
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…
math.AP2022
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{…