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math.AP2025
A new proof on quasilinear Schrödinger equations with prescribed mass and combined nonlinearities
Jianhua Chen, Jijiang Sun, Chenggui Yuan +1
In this work, we study the quasilinear Schrödinger equation \begin{equation*} \aligned -Δu-Δ(u^2)u=|u|^{p-2}u+|u|^{q-2}u+λu,\,\, x\in\R^N, \endaligned \end{equation*} under the mas…
math.AP2025
Another look at quasilinear Schrödinger equations with prescribed mass via dual method
Jianhua Chen, Vicentiu D. Radulescu, Jijiang Sun +1
In this paper, we aim to study the existence of ground state normalized solutions for the following quasilinear Schrödinger equation , under the…
math.AP2019★ 53 cited
Infinitely many sign-changing solutions for Kirchhoff type problems in
Jijiang Sun, Lin Li, Matija Cencelj +1
In this paper, we consider the following nonlinear Kirchhoff type problem: \[ \left\{\begin{array}{lcl}-\left(a+b\displaystyle\int_{\mathbb{R}^3}|\nabla u|^2\right)Δu+V(x)u=f(u), &…