97 citations · 1.2k across the 185 of their papers we have counts for
188 papers
Entire monotone solutions of the anisotropic Allen-Cahn equation in dimension 5
Haowen Lu, Song Wang, Juncheng Wei +1
In this paper, we consider the anisotropic Allen-Cahn equation in , where with and a un…
Blow-up phenomena for the -Yamabe equation
Bin Deng, Han Lu, Jun-cheng Wei
For every integer , we construct a smooth metric on that is invariant under the antipodal map and is not locally conformally flat. For this fixed background m…
On the Schiffer and Berenstein conjectures with high-frequency for convex domains in the plane
Guowei Dai, Yingxin Sun, Juncheng Wei +1
In this paper, by introducing two-point stationary-phase amplitude defect, we provide a partial positive answer to the Schiffer and Berenstein conjectures in . More p…
Existence and Stability of a Boundary Layer with an Interior Spike in the Singularly Perturbed Shadow Gierer-Meinhardt System
Daniel Gomez, Juncheng Wei
The singularly perturbed Gierer-Meinhardt (GM) system in a bounded -dimensional domain () is known to exhibit boundary layer (BL) solutions for a non-zero activator flu…
Bouncing Jacobi fields and the Allen-Cahn equation on surfaces
Yong Liu, Frank Pacard, Juncheng Wei
The Allen-Cahn functional is a well studied variational problem which appears in the modeling of phase transition phenomenon. This functional depends on a parameter $\varepsilon >0…
Higher order Bol's inequality and its applications
Mingxiang Li, Juncheng Wei
In the conformal class of Euclidean space, we give some volume comparison theorems with help of Q-curvature. Meanwhile, for compact four dimensional manifolds with non-negative sca…