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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

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Showing 2021Show all

7 papers · 1 filter

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\…

math.AP2021

Normalized solutions for nonlinear Schrödinger systems with special mass-mixed terms: The linear couple case

Zhen Chen, Xuexiu Zhong, Wenming Zou

In this paper, we prove the existence of positive solutions to the following coupled Schrödinger system $$\begin{cases} -Δu + λ_1 u=…

math.AP2021★ 1 cited

A new deduce of the strict binding inequality and its application: Ground state normalized solution to Schrödinger equations with potential

Xuexiu Zhong, Wenming Zou

In the present paper, we prove the existence of solutions to the following elliptic equations with potential $\displaystyle -Δu+(V(x)+λ)u=g(u)\;\hbox…

math.AP2021★ 3 cited

Positive normalized solutions to nonlinear elliptic systems in with critical Sobolev exponent

Xiao Luo, Xiaolong Yang, Wenming Zou

In this paper, we consider the existence and asymptotic behavior on mass of the positive solutions to the following system: \begin{equation}\label{eqA0.1}\nonumber \begin{cases} -Δ…

math.AP2021

Positive least energy solutions for -coupled Schrödinger system with critical exponent: the higher dimension and cooperative case

Xin Yin, Wenming Zou

In this paper, we study the following -coupled nonlinear Schrödinger system with Sobolev critical exponent: \begin{equation*} \left\{ \begin{aligned} -Δu_i & +λ_iu_i =μ_i u_i^{2…