supported by the National Science Foundation of China(Nos.12161094,12031018,11871270,12161141003and11931006).
A graph G is a fractional(k,m)-deleted graph if removing any m edges from G,the resulting subgraph still admits a fractional k-factor.Let k≥2 and m≥1 be integers.Denote[2m/k]^(*)=[2m/k]if 2m/k is not an integer,and[...
Supported by the Young Scientist Program of the Ministry of Science and Technology of China(Grant No.2021Y-FA1002200);the National Natural Science Foundation of China(Grant No.12101362);the Tai-Shan Scholar Program and the Natural Science Foundation of Shandong Province(Grant Nos.ZR2022YQ01,ZR2021QA003)。
In this short note,we establish a sharp Morrey regularity theory for an even order elliptic system of Rivière type:△^(m)u=∑_(t=0)^(m-1)△^(l)+∑_(t=0)^(m-2)△^(l)δ(ω_(l)du)+f in B^(2m)under minimal regular...
We couple together existing ideas,existing results,special structure and novel ideas to accomplish the exact limits and improved decay estimates with sharp rates for all order derivatives of the global weak solutions ...
In sharp contrast to Western urbanization models, the distinctive feature of China's rapid urbanization lies in the production of space. This is not only a crucial entry point for comprehending China's urbanization pa...
supported by the National Natural Science Foundation of China(32270296);the Shenzhen Postdoctoral Scientific Research,China(77000-42100004);the Key Basic Research and Development Program of Hubei Province,China(2020BBA052);the Natural Science Foundation of Guangdong Province,China(2024A1515010498)and the Fundamental Research Funds for the Central Universities,Sun Yat-sen University,China.
Sharp eyespot(Rhizoctonia cerealis)is a widespread soil-borne fungal disease that poses a severe threat to wheat health,and it is one of the main obstacles to achieving stable and high-quality wheat yields in China.Ou...
BACKGROUND Sharp foreign body ingestion can cause gastrointestinal tract mucosa injury and requires proper endoscopic removal.Typically,protective devices are used to reduce mucosal damage.This case presents an altern...
On January 27,a technology news story emerged from China two days before the Spring Festival:DeepSeek,a Chinese-developed artificial intelligence(AI)product,had surpassed American company OpenAI’s ChatGPT in free dow...
As an appendix of [Gao et al. Sharp isolated toughness bound for fractional (k,m)-deleted graphs, Acta Mathematicae Applicatae Sinica, English Series, 2025, 41(1): 252-269], the detailed proof of Theorem 4.1 in this w...
Zhang Quanling,a seasoned Chinese journalist,has recently gained popularity on the reality show See You Again for her sharp and insightful comments on the relationships of couples featured on the program.Many netizens...
supported by NSFC(Grant nos.11871406,12271449);supported by Australian Laureate Fellowship FL150100126 of the Australian Research Council;National Key R and D Program of China 2021YFA1001800 and NSFC(Grant no.12171334).
It was conjectured by Escobar(J Funct Anal 165:101–116,1999)that for an ndimensional(n≥3)smooth compact Riemannian manifold with boundary,which has nonnegative Ricci curvature and boundary principal curvatures bound...