3 papers
math.AP2026
Multiplicity and asymptotics of positive solutions for critical-concave Kirchhoff equation
Zhi-Yun Tang, Gui-Dong Li, Yong-Yong Li
This paper focuses on the critical Kirchhoff equation with concave perturbation \begin{align*} \begin{cases} \displaystyle -\Big(a+b\int_Ω|\nabla u|^2dx\Big)Δu=|u|^4u+λ|u|^{q-2}u\…
math.AP2025
Existence and concentration of nontrivial solutions for quasilinear Schrödinger equation with indefinite potential
Lifeng Yin, Xiaoqi Liu, Yongyong Li
This paper is concerned with the quasilinear Schrödinger equation \begin{align*} -Δu+V(x)u+\frac{k}{2}Δ(u^2)u=f(u)\quad \text{in}~~\mathbb{R}^N\text{,} \end{align*} where …
math.AP2023
Prescribed mass standing waves for Schrödinger-Maxwell equations with combined nonlinearities
Jin-Cai Kang, Yong-Yong Li, Chun-Lei Tang
In the present paper, we study the following Schrödinger-Maxwell equation with combined nonlinearities \begin{align*} \displaystyle - Δu+λu+ \left(|x|^{-1}\ast |u|^2\right)u =|u|^{…