6 papers · 1 filter
Sharp stability for mixed bubbles on hyperbolic space
Juncheng Wei, Zetian Yan, Zhipeng Yang
We prove sharp residual stability estimates for the critical Poincaré-Sobolev equation near sums of one positive hyperbolic solution and one projected Euclidean bubble in dimension…
On critical dimensions for compactness in the boundary Yamabe problem, I
Liuwei Gong, Seunghyeok Kim, Monica Musso +1
We construct smooth, non-locally-conformally-flat metrics on the closed ball for which the boundary Yamabe equation admits -unbounded sequences of positive solutions. The…
On Brezis' open problem 2.2
Hong-Ge Chen, Yong Liu, Juncheng Wei +1
We prove that the global minimizer of the Ginzburg-Landau energy in the disk of radius with boundary value is the degree-one radial solution of the planar…
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
Let , , and . We prove that the equal-frequency two-component cubic Schrödinger system \[ -Δu+u=μ_1u^3+βuv^2, \qquad -Δv+v=μ_2v^3+βu^2v \quad\te…
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 fi…