National Institute for Mathematical Sciences

Calderón–Zygmund estimates for generalized double phase equations with matrix weights

Abstract We prove Calderón–Zygmund estimates for generalized double phase equations with Orlicz growth and variable matrix weights. The operator combines a nonuniformly elliptic double phase structure with a degenerate or singular matrix weight satisfying a small log‐ condition....

Evaluating the impact of incomplete contact tracing data on urban epidemic dynamics

Contact tracing (CT) is a frontline measure against emerging epidemics, yet in practice it is never complete. The quantitative impact of missing information—such as untraced cases or unnotified contacts—on the effectiveness of CT remains insufficiently understood. Using a stochas...

On the Order of Intersecting Hypergraphs

Abstract. Determining the maximum number of edges in an intersecting hypergraph on a fixed ground set under additional constraints is one of the central topics in extremal combinatorics. In contrast, there are few results on analogous problems concerning the maximum order of such...