supported by the National Natural Science Foundation of China(Grant No.12272248);the Postgraduate Research and Practice Innovation Program of Jiangsu Province of China(Grant No.KYCX23_3296).
Fractional calculus is widely used to deal with nonconservative dynamics because of its memorability and non-local properties.In this paper,the Herglotz principle with generalized operators is discussed,and the Herglo...
The financial support received from the Shenzhen Science and Technology Innovation Commission(KCXFZ20201221173207022,WDZC20200821141349001);Shenzhen Bay Laboratory Startup Fund(21310041,S234602003)。
Pu-erh tea,a traditional Chinese beverage,performs an anti-obesity function,but the correlation between its components and efficacy remains unknown.Here,we screened two Pu-erh teas with significant anti-obesity effica...
supported by National Key R&D Program(Grant No.2023YFA1010002);National Natural Science Foundation of China(Grant Nos.12031015 and 12271283)。
Consider the following elliptic system:{(−∆)u=f(u,v),(−∆)v=g(u,v),(0.1)where f and g are continuous functions and satisfy the finite total curvature conditions.Recently,Guo and Liu(2008)derived Liouville-type results ...
supported by the NSFC(12031015);Song's research was supported by the Shuimu Tsinghua Scholar Program,the National Funded Postdoctoral Research Program(GZB20230368);the China Postdoctoral Science Foundation(2024T170452)。
We investigate the radial symmetry of minimizers on the Pohozaev-Nehari manifold to the Schrodinger Poisson equation with a general nonlinearity f(u).Particularly,we allow that f is L^(2) supercritical.The main result...
The US 2024 general election ended with the Republican Party winning the presidential, House and Senate elections at the same time. In the presidential election, the Republican Party not only won more popular votes in...
In response to an ageing global population,the primary hip and knee arthroplasty rate continues to increase.Although an effective treatment,up to 25%patients may require revision arthroplasty during their lifetime,com...
Kidney transplantation is the preferred treatment for patients with advanced chronic kidney disease and end-stage kidney disease,offering superior quality of life and survival compared to dialysis.This manuscript prov...
supported by National Natural Science Foundation of China(Grant No.12171171);Natural Science Foundation of Fujian Province of China(Grant Nos.2022J01303 and 2023J01121);the Scientific Research Funds of Huaqiao University。
In this paper,we investigate a class of reversible dynamical systems in four dimensions.The spectrums of their linear operators at the equilibria are assumed to have a pair of positive and negative real eigenvalues an...
supported by the National Natural Science Foundation of China(Grant No.12122515);Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices(Grant No.2022B1212010008);Guangdong Basic and Applied Basic Research Foundation(Grant No.2023B1515040023)。
Distinct from human cognitive processing,deep neural networks trained by backpropagation can be easily fooled by adversarial examples.To design a semantically meaningful representation learning,we discard backpropagat...
Supported by Grant-in-Aid for Scientific Research(C)(Grant No.21K03304);Japan Society for the Promotion of Science;the Research Institute for Mathematical Sciences,an International Joint Usage/Research Center located in Kyoto University。
In this paper we extend the duality(C_(comp)^(∞)(R^(d))^(BMO(R^d))))^(∗)=H^(1)(R^(d))to generalized Campanato spaces with variable growth condition Lp,φ(R^(d))instead of BMO(R^(d)).We also extend the characterizatio...