Juncheng Wei

most citedEntire Solutions of the Allen-Cahn equation and Complete Embedded Minimal Surfaces of Finite Total Curvature in

R^{3}

14 citations · 27 across the 3 of their papers we have counts for

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math.AP2009

Homoclinic solutions for fourth order traveling wave equations

Sanjiban Santra, Juncheng Wei

We consider homoclinic solutions of fourth order equations $u^{""} + β^{2} u^{"} + V_{u} (u) = 0 in R,$ where $V (u)$ is either the suspension bridge type $V (u) = e^{u} - 1 - u$ or Swift-H…

math.AP2009★ 14 cited

Entire Solutions of the Allen-Cahn equation and Complete Embedded Minimal Surfaces of Finite Total Curvature in $R^{3}$

Manuel del Pino, Mike Kowalczyk, Juncheng Wei

We consider minimal surfaces $M$ which are complete, embedded and have finite total curvature in $R^{3}$ , and bounded, entire solutions with finite Morse index of the Allen-Cahn equ…

math.AP2008★ 13 cited

On De Giorgi Conjecture in Dimension $N \geq 9$

Manuel del Pino, Mike Kowalczyk, Juncheng Wei

A celebrated conjecture due to De Giorgi states that any bounded solution of the equation $Δ u + (1 - u^{2}) u = 0in R^{N}$ with $\pp_{y_N}u >0$ must be such that its level sets…

Homoclinic solutions for fourth order traveling wave equations

Entire Solutions of the Allen-Cahn equation and Complete Embedded Minimal Surfaces of Finite Total Curvature in R3

On De Giorgi Conjecture in Dimension N≥9

Entire Solutions of the Allen-Cahn equation and Complete Embedded Minimal Surfaces of Finite Total Curvature in $R^{3}$

On De Giorgi Conjecture in Dimension $N \geq 9$