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} -Îu + V(x)u + Ïu = f(x,u), & \text{in } \mathbb{R}^3, -ÎÏ+ a^2 Î^2 Ï= 4Ïu^2,…
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}…