4 papers
A conformal lower bound of weighted Dirac eigenvalues on manifolds with boundary
Mingwei Zhang
For the weighted Dirac eigenproblem on a compact spin manifold with the chiral boundary condition \begin{equation*} \left\{ \begin{array}{ll} Dφ= λfφ& \text{in } M, \\ \mathbf{B}φ=…
Conformal invariants for the zero mode equation
Guofang Wang, Mingwei Zhang
For non-trivial solutions to the zero mode equation on a closed spin manifold \[D φ=iA\cdot φ,\] we first provide a simple proof for the sharp inequality \eq{ \norm{A}_{L^n}^2 \ge…
Creep Behavior of High-Entropy Alloys: A Critical Review
Mingwei Zhang, Uwe Glatzel, Martin Heilmaier +1
High-entropy alloys (HEAs) comprise a compositionally complex class of materials that in certain cases exhibit outstanding mechanical properties. While substantial progress has bee…
Stability of spinorial Sobolev inequalities on
Guofang Wang, Mingwei Zhang
The spinorial Sobolev inequality on the unit sphere states \begin{equation*} \Big(\int| Dψ|^{\frac{2n}{n+1}}\Big)^{\frac{n+1}{n}}-\frac{n}{2}ω_{n}^{1/n}\int\langle Dψ,ψ\rangle \geq…