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20122026
most citedPositive Least Energy Solutions and Phase Separation for Coupled Schrodinger Equations with Critical Exponent: Higher Dimensional Case

173 citations · 228 across the 28 of their papers we have counts for

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math.AP2023

Sharp estimates and non-degeneracy of low energy nodal solutions for the Lane-Emden equation in dimension two

Zhijie Chen, Zetao Cheng, Hanqing Zhao

We study the Lane-Emden problem \[\begin{cases} -Δu_p =|u_p|^{p-1}u_p&\text{in}\quad Ω, u_p=0 &\text{on}\quad\partialΩ, \end{cases}\] where is a smooth bounde…

math.AP2023

Asymptotic behavior of least energy nodal solutions for biharmonic Lane-Emden problems in dimension four

Zhijie Chen, Zetao Cheng, Hanqing Zhao

In this paper, we study the asymptotic behavior of least energy nodal solutions to the following fourth-order elliptic problem \[ \begin{cases} Δ^2 u =|u|^{p-1}u \quad &\h…