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math.AP2024
Infinitely many solutions for a class of fractional Schrodinger equations coupled with neutral scalar field
Liejun Shen, Marco Squassina, Xiaoyu Zeng
We study the fractional Schrödinger equations coupled with a neutral scalar field $$ (-Δ)^s u+V(x)u=K(x)ϕu +g(x)|u|^{q-2}u, \quad x\in \mathbb{R}^3,\qquad (I-Δ)^t ϕ=K(x)u^2, \quad…
math.AP2024
Planar Schrödinger-Poisson system with steep potential well: supercritical exponential case
Liejun Shen, Marco Squassina
We study a class of planar Schrödinger-Poisson systems where is a parameter, $V\in…
math.AP2024
Normalized solutions to the Chern-Simons-Schrödinger system: the supercritical case
Liejun Shen, Marco Squassina
We are concerned with the existence of normalized solutions for a class of generalized Chern-Simons-Schrödinger type problems with supercritical exponential growth $$ -Δu +λu+A_0 u…