2 papers
math.AP2026
On the Schrödinger--Bopp--Podolsky system with indefinite potential: ground states, multiplicity and exponential decay
Ting Xiao, Fan Wang, Li-Feng Yin
In this paper, we study the Schrödinger--Bopp--Podolsky system \begin{equation*} \begin{cases} -Δu + V(x)u + ϕu = f(x,u), & \text{in } \mathbb{R}^3, -Δϕ+ a^2 Δ^2 ϕ= 4πu^2, & \text{…
math.AP2025
Ground state and multiple solutions for modified autonomous fourth-order elliptic equations with Berestycki-Lions type conditions
Lifeng Yin, Fan Wang
This article establishes the existence of a ground state and infinitely many solutions for the modified fourth-order elliptic equation: \[ \begin{aligned} \left\{ \begin{array}{ll}…