Ao Xiao

collaborators

2 papers

math.AP2026

Positive Solutions for a One-Dimensional Minkowski-Curvature Equation with a Sign-Changing Nonlinearity under Mixed Boundary Conditions

Ao Xiao

We establish the existence of a positive solution for a one-dimensional Minkowski-curvature equation with mixed boundary conditions and a sign-changing nonlinearity. A nonnegative…

math.CV2026

An Infinitesimal Circular Morera Theorem

Qiteng Guo, Ao Xiao

We prove an infinitesimal circular version of Morera's theorem. Let $D \subset C$ be a domain and let $f \in C (D)$ . If, at every $a \in D$ , $\int_{\vert{}ζ-a\vert{}=r}f(ζ)\,dζ…