4 citations · 17 across the 15 of their papers we have counts for
17 papers
Multi-peak solutions for a magnetic nonlinear Schrödinger equation with exponential critical growth in
Pietro d'Avenia, Chao Ji, Qingyue Li
In this paper, we study the following magnetic nonlinear Schrödinger equation \[ \left(\frac{\varepsilon}{i}\nabla-A(x)\right)^{2}u+V(x)u=f(|u|^{2})u\,\ \text{in}\,\ \mathbb{R}^{2}…
Multiple normalized solutions to a logarithmic Schrödinger equation via Lusternik-Schnirelmann category
Claudianor O. Alves, Chao Ji
In this paper our objective is to investigate the existence of multiple normalized solutions to the logarithmic Schrödinger equation given by \begin{align*} \left\{ \begin{aligned}…
Existence and concentration of nontrivial solitary waves for a generalized Kadomtsev--Petviashvili equation in
Claudianor O. Alves, Chao Ji
In this paper, we study the existence and concentration of solitary waves for a class of generalized Kadomtsev-Petviashvili equations with the potential in via the v…
Semiclassical states for a magnetic nonlinear Schrödinger equation with exponential critical growth in
Pietro d'Avenia, Chao Ji
This paper is devoted to the magnetic nonlinear Schrödinger equation \[ \Big(\frac{\varepsilon}{i}\nabla-A(x)\Big)^{2}u+V(x)u=f(| u|^{2})u \text{ in } \mathbb{R}^{2}, \] where $\va…
Multiplicity of normalized solutions for a Schrödinger equation with critical growth in
Claudianor O. Alves, Chao Ji, Olimpio H. Miyagaki
In this paper we study the multiplicity of normalized solutions to the following nonlinear Schrödinger equation with critical growth \begin{align*} \left\{ \begin{aligned} &-Δu=λu+…
Normalized solutions for a Schrödinger equation with critical growth in
Claudianor O. Alves, Chao Ji, Olimpio H. Miyagaki
In this paper we study the existence of normalized solutions to the following nonlinear Schrödinger equation with critical growth \begin{align*} \left\{ \begin{aligned} &-Δu=λu+f(u…
Multi-bump positive solutions for a logarithmic Schrödinger equation with deepening potential well
Claudianor O. Alves, Chao Ji
This article concerns the existence of multi-bump positive solutions for the following logarithmic Schrödinger equation $$ \left\{ \begin{array}{lc} -Δu+ λV(x)u=u \log u^2, & \mbox…
Multiplicity and concentration results for a magnetic Schrödinger equation with exponential critical growth in
Pietro d'Avenia, Chao Ji
In this paper we study the following nonlinear Schrödinger equation with magnetic field \[ \Big(\frac{\varepsilon}{i}\nabla-A(x)\Big)^{2}u+V(x)u=f(| u|^{2})u,\quad x\in\mathbb{R}^{…
Existence and concentration of positive solutions for a logarithmic Schrödinger equation via penalization method
Claudianor O. Alves, Chao Ji
In this article we are concerned with the following logarithmic Schrödinger equation $$ \left\{ \begin{array}{lc} -ε^2Δu+ V(x)u=u \log u^2, & \mbox{in} \,\, \mathbb{R}^{N}, \\ %u(x…
Existence of a positive solution for a logarithmic Schrödinger equation with saddle-like potential
Claudianor O. Alves, Chao Ji
In this article we use the variational method developed by Szulkin \cite{szulkin} to prove the existence of a positive solution for the following logarithmic Schrödinger equation $…
Multiple positive solutions for a Schrödinger logarithmic equation
Claudianor O. Alves, Chao Ji
This article concerns with the existence of multiple positive solutions for the following logarithmic Schrödinger equation $$ \left\{ \begin{array}{lc} -ε^2Δu+ V(x)u=u \log u^2, &…
The cone Moser-Trudinger inequalities and their applications
Fei Fang, Chao Ji
In this article, we firstly study the cone Moser-Trudinger inequalities and their best exponents on both bounded and unbounded domains . Then, using the con…
Ground state solutions of fractional Schrödinger equations with potentials and weak monotonicity condition on the nonlinear term
Chao Ji
In this paper we are concerned with the fractional Schrödinger equation , $x\in \rn$, where is superlinear, subcritical growth and $u\mapsto\frac{f(x,…
Ground state sign-changing solutions for a class of nonlinear fractional Schrödinger-Poisson system in
Chao Ji
In this paper, we are concerned with the existence of the least energy sign-changing solutions for the following fractional Schrödinger-Poisson system: \begin{align*} \left\{ \begi…
Standing waves for the Chern-Simons-Schrodinger equation with critical exponential growth
Chao Ji, Fei Fangb
In this paper, by combing the variational methods and Trudinger-Moser inequality, we study the existence and multiplicity of the positive standing wave for the following Chern-Simo…
A logarithmic Schrödinger equation with asymptotic conditions on the potential
Chao Ji, Andrzej Szulkin
In this paper we consider a class of logarithmic Schrödinger equations with a potential which may change sign. When the potential is coercive, we obtain infinitely many solutions b…
Nontrivial solutions for semilinear elliptic systems via Orlicz-Sobolev theory
Fei Fang
In this paper, the semilinear elliptic systems with Dirichlet boundary value are considered \begin{align} \left\{\begin{array}{ll} -Δv=f(u) & \mathrm{in}\ Ω, -Δu=g(v) & \mathrm{in}…