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20122022
most citedGroundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent

58 citations · 151 across the 20 of their papers we have counts for

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Showing 2018Show all

5 papers · 1 filter

math.AP2018★ 3 cited

A perturbation approach to studying sign-changing solutions of Kirchhoff equations with a general nonlinearity

Zhisu Liu, Yijun Lou, Jianjun Zhang

By employing a novel perturbation approach and the method of invariant sets of descending flow, this manuscript investigates the existence and multiplicity of sign-changing solutio…

math.AP2018★ 35 cited

Existence and multiplicity of sign-changing standing waves for a gauged nonlinear Schrödinger equation in

Zhisu Liu, Zigen Ouyang, Jianjun Zhang

We are concerned with sign-changing solutions of the following gauged nonlinear Schrödinger equation in dimension two including the so-called Chern-Simons term \begin{align*} \left…

math.AP2018

Modulational stability of ground states to nonlinear Kirchhoff equations

Jianjun Zhang, Zhisu Liu, Marco Squassina

We investigate the stability of ground states to a nonlinear focusing Schrödinger equation in presence of a Kirchhoff term. Through a spectral analysis of the linearized operator a…

math.AP2018★ 1 cited

Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two

Daniele Cassani, Hugo Tavares, Jianjun Zhang

We prove, using variational methods, the existence in dimension two of positive vector ground states solutions for the Bose-Einstein type systems \begin{equation} \begin{cases} -Δu…

math.AP2018

Solutions concentrating around the saddle points of the potential for Schrödinger equations with critical exponential growth

J. Zhang, J. M. do Ó, P. K. Mishra

In this paper, we deal with the following nonlinear Schrödinger equation where has critical growth of Trudinger-Moser type.…