4 citations · 17 across the 15 of their papers we have counts for
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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, &…