activity
20122023
most citedPositive Least Energy Solutions and Phase Separation for Coupled Schrodinger Equations with Critical Exponent: Higher Dimensional Case

173 citations · 449 across the 41 of their papers we have counts for

collaborators

41 papers

math.AP2023

Positive solution for an elliptic system with critical exponent and logarithmic terms

Hichem Hajaiej, Tianhao Liu, Linjie Song +1

In this paper, we study the existence and nonexistence of positive solutions for a coupled elliptic system with critical exponent and logarithmic terms. The presence of the the log…

math.AP2022

Sharp estimates, uniqueness and nondegeneracy of positive solutions of the Lane-Emden system in planar domains

Zhijie Chen, Houwang Li, Wenming Zou

We study the Lane-Emden system where $Ω\subset…

math.AP2022★ 49 cited

Existence and asymptotic behavior of normalized ground states for Sobolev critical Schrödinger systems

Thomas Bartsch, Houwang Li, Wenming Zou

The paper is concerned with the existence and asymptotic properties of normalized ground states of the following nonlinear Schrödinger system with critical exponent: \begin{equatio…

math.AP2022★ 1 cited

Least energy positive soultions for -coupled Schrödinger systems with critical exponent in dimension three

Tianhao Liu, Song You, Wenming Zou

In the present paper, we consider the coupled Schrödinger systems with critical exponent: \begin{equation*} \begin{cases} -Δu_i+λ_{i}u_i=\sum\limits_{j=1}^{d} β_{ij}|u_j|^{3}|u_i|u…

math.CA2021★ 1 cited

On universally optimal lattice phase transitions and energy minimizers of completely monotone potentials

Senping Luo, Juncheng Wei, Wenming Zou

We consider the minimizing problem for energy functionals with two types of competing particles and completely monotone potential on a lattice. We prove that the minima of sum of t…

math.AP2021

Least energy positive solutions of critical Schrödinger systems with mixed competition and cooperation terms: the higher dimensional case

Hugo Tavares, Song You, Wenming Zou

Let be a smooth bounded domain. In this paper we investigate the existence of least energy positive solutions to the following Schrödinger system with $d\…