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Nonradial stable solutions near the Joseph--Lundgren threshold
Shibing Chen, Yong Liu, Juncheng Wei +1
We study positive stable solutions of the supercritical Lane--Emden equation in the first Joseph--Lundgren interval. For a family of dimensions, we construct nonradial stable entir…
On Sirakov's equal-frequency uniqueness conjecture
Hong-Ge Chen, Yong Liu, Juncheng Wei +1
The authors prove that the equal-frequency two-component cubic Schrödinger system in two and three dimensions has exactly one positive solution (up to simultaneous translation), co…
Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation
Hongge Chen, Juncheng Wei, Haicheng Yan +1
We prove that every smooth entire solution of the Ginzburg--Landau equation with as has f…
Compactness and non-compactness theorems of the fourth- and sixth-order constant -curvature problems
Liuwei Gong, Seunghyeok Kim, Juncheng Wei
We provide a complete resolution to the question of compactness for the full solution sets of the fourth-order and sixth-order constant -curvature problems on smooth closed Riem…
Sharp quantitative stability estimates for the Brezis-Nirenberg problem
Haixia Chen, Seunghyeok Kim, Juncheng Wei
We study the quantitative stability for the classical Brezis-Nirenberg problem associated with the critical Sobolev embedding in…