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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 2018Show all

5 papers · 1 filter

math.AP2018

Qualitative analysis for an elliptic system in the punctured space

Hui Yang, Wenming Zou

In this paper, we investigate the qualitative properties of positive solutions for the following two-coupled elliptic system in the punctured space: $$ \begin{cases} -Δu =μ_1 u^{2q…

math.AP2018

Exact Asymptotic Behavior of Singular Positive Solutions of Fractional Semi-Linear Elliptic Equations

Hui Yang, Wenming Zou

In this paper, we prove the exact asymptotic behavior of singular positive solutions of fractional semi-linear equations with an…

math.AP2018★ 3 cited

On Isolated Singularities of Fractional Semi-Linear Elliptic Equations

Hui Yang, Wenming Zou

In this paper, we study the local behavior of nonnegative solutions of fractional semi-linear equations with an isolated singularity, where $\sg \in (0, 1)$ and $\f…

math.AP2018

Spikes of the two-component elliptic system in $\bbr^4$ with Sobolev critical exponent

Yuanze Wu, Wenming Zou

Consider the following elliptic system: \begin{equation*} \left\{\aligned&-\ve^2Δu_1+λ_1u_1=μ_1u_1^3+α_1u_1^{p-1}+βu_2^2u_1\quad&\text{in}Ω,\\ &-\ve^2Δu_2+λ_2u_2=μ_2u_2^3+α_2u_2^{p…

math.AP2018

On the existence and regularity of vector solutions for quasilinear systems with linear coupling

Yong Ao, Jiaqi Wang, Wenming Zou

We study a class of linearly coupled system of quasilinear equations. Under some assumptions on the nonlinear terms, we establish some results about the existence and regularity of…