Xin Yang Lu

Properties of Minimizers of Average-Distance Problem via Discrete Approximation of Measures

Given a finite measure

Regularity in Time for Weak Solutions of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces

\mu\geq 0

More counterexamples to regularity for minimizers of the average-distance problem

with compact support, and

On the Solutions of a \(2+1\)-Dimensional Model for Epitaxial Growth with Axial Symmetry

\lambda >0

Branching time estimates in quasi-static evolution for the average distance functional

, the average-distance problem, in the penalized formulation, is to minimize

Geometric and Topological Properties of Exponent Related Dynamic Evolution

E_\mu^\lambda(\Sigma):= \int_{\mathbb{R}^d} d(x,\Sigma)d\mu(x)+\lambda \mathcal{H}^1(\Sigma)

Gradient flow approach to an exponential thin film equation: global existence and latent singularity

among pathwise connected, closed sets,

AVERAGE-DISTANCE PROBLEM FOR PARAMETERIZED CURVES

\Sigma

Regularity of densities in relaxed and penalized average distance problem

. Here

Switching Mechanism in the

d(x, \Sigma)