Chilin Zhang

collaborators

3 papers

math.AP2025

A further remark on the density estimate for degenerate Allen-Cahn equations: $I^_{p}$ -type equations for $1 < p < \frac{n}{n - 1}$ with rough coefficients

Chilin Zhang

In this short remark on a previous paper \cite{SZ25}, we continue the study of Allen-Cahn equations associated with Ginzburg-Landau energies \begin{equation*} J(v,Î©)=\int_Î©\Big\{…

math.AP2025

Density estimates for Ginzburg-Landau energies with degenerate double-well potentials

Ovidiu Savin, Chilin Zhang

We consider a class of Allen-Cahn equations associated with Ginzburg-Landau energies involving degenerate double-well potentials that vanish of order $m$ at the minima \begin{equat…

math.AP2025

Minimizers of the Allen-Cahn energy with sub-quadratic growth

Ovidiu Savin, Chilin Zhang

We establish Liouville theorems for global minimizers $u$ of the Allen-Cahn energy $\int ∣\nabla u ∣^{2} + W (u) d x,$ which have subquadratic growth at infinity. In particular we…

A further remark on the density estimate for degenerate Allen-Cahn equations: I^p​-type equations for 1<p<n−1n​ with rough coefficients

Density estimates for Ginzburg-Landau energies with degenerate double-well potentials

Minimizers of the Allen-Cahn energy with sub-quadratic growth

A further remark on the density estimate for degenerate Allen-Cahn equations: $I^_{p}$ -type equations for $1 < p < \frac{n}{n - 1}$ with rough coefficients