3 papers
math.AP2024
Generalized Chern-Simons-Schrodinger system with critical exponential growth: the zero mass case
Liejun Shen, Marco Squassina
We consider the existence of ground state solutions for a class of zero-mass Chern-Simons-Schrödinger systems \[ \left\{ \begin{array}{ll} \displaystyle -Îu +A_0 u+\sum\limits_{j…
math.AP2024
Existence and concentration of normalized solutions for -Laplacian equations with logarithmic nonlinearity
Liejun Shen, Marco Squassina
We investigate the existence and concentration of normalized solutions for a -Laplacian problem with logarithmic nonlinearity of type \[ \left\{ \begin{array}{ll} \displaystyle…
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 $$ (-Î)^s u+V(x)u=K(x)Ïu +g(x)|u|^{q-2}u, \quad x\in \mathbb{R}^3,\qquad (I-Î)^t Ï=K(x)u^2, \…