23 citations · 232 across the 109 of their papers we have counts for
137 papers
On nodal solutions with a prescribed number of nodes for a Kirchhoff-type problem
Haining Fan, Marco Squassina, Jianjun Zhang
We are concerned with the existence and asymptotic behavior of multiple radial sign-changing solutions with the nodal characterization for a Kirchhoff-type problem involving the no…
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 -Δu +A_0 u+\sum\limits_{j=1…
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…
Normalized solutions of quasilinear Schrödinger equations with a general nonlinearity
Ting Deng, Marco Squassina, Jianjun Zhang +1
We are concerned with solutions of the following quasilinear Schrödinger equations \begin{eqnarray*} -{\mathrm{div}}\left(φ^{2}(u) \nabla u\right)+φ(u) φ^{\prime}(u)|\nabla u|^{2}+…
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…
Normalized solutions for a fractional Schrödinger-Poisson system with critical growth
Xiaoming He, Yuxi Meng, Marco Squassina
In this paper, we study the fractional critical Schrödinger-Poisson system \[\begin{cases} (-Δ)^su +λϕu= αu+μ|u|^{q-2}u+|u|^{2^*_s-2}u,&~~ \mbox{in}~{\mathbb R}^3,\\ (-Δ)^tϕ=u^2,&~…