supported by the National Natural Science Foundation of China(12171373);Chen's work also supported by the Fundamental Research Funds for the Central Universities of China(GK202207018).
In this paper,we study composition operators on weighted Bergman spaces of Dirichlet series.We first establish some Littlewood-type inequalities for generalized mean counting functions.Then we give sufficient conditio...
supported by the National Key Research and Development Program of China(22YFA10057001);the National Science Foundation of Guangdong Province(2023A1515012034);the National Natural Science Foundation of China(12371105,11971295).
In this paper,C1,1 regularity for solutions to the degenerate dual Orlicz-Minkowski problem is considered.The dual Orlicz-Minkowski problem is a generalization of the Lp dual Minkowski problem in convex geometry.The p...
supported by the Agencia Estatal de Investigación grant PID2019-104658GB-I00;the H2020 European Research Council grant MSCA-RISE-2017-777911;AGAUR(Generalitat de Catalunya)grant 2021SGR00113;the Reial Acadèmia de Ciències i Arts de Barcelona;supported by FCT/Portugal through CAMGSD,IST-ID,projects UIDB/04459/2020 and UIDP/04459/2020.
The differential systemẋ=ax−yz,ẏ=−by+xz,ż=−cz+x2,where a,b and c are positive real parameters,has been studied numerically due to the big variety of strange attractors that it can exhibit.This system has a Darboux inv...
supported by the Postgraduate Scientic Research Innovation Project of Chongqing Normal University(YKC24010);Chunna Zeng's research was supported by the Major Special Project of the National Natural Science Foundation of China(12141101);the Young Top-Talent program of Chongqing(CQYC2021059145);the Technology Research Foundation of Chongqing Educational committee(KJZD-K202200509);the Natural Science Foundation Project of Chongqing(CSTB2024NSCQ-MSX0937)。
Two sharp Chernoff type inequalities are derived for star bodies in R2,one is an extension of the dual Chernoff-Ou-Pan inequality,and the other is the reverse Chernoff type inequality.Furthermore,we establish a genera...
This article studies the existence and uniqueness of the mild solution of a family of control systems with a delay that are governed by the nonlinear fractional evolution differential equations in Banach spaces.Moreov...
supported by FAPESQ/Brazil(Grant No.3031/2021);supported by CNPq/Brazil(Grant No.309.692/2020-2)and FAPESQ/Brazil(Grant No.3031/2021).
In this paper we investigate the existence of solution for the following nonlocal problem with Stein-Weiss convolution term-△Φu+V(x)Φ(|u|)u=1/|x|α(∫R^(N)K(y)F(u(y))/|x-y|Y(λ)|y|^(α)dy)K(x)f(u(x)),x∈R^(N),wher...
supported by the NSFC(11301297);the Hubei Provincial Natural Science Foundation of China(2024AFB730);the Yichang City Natural Science Foundation(A-24-3-008);the Open Research Fund of Key Laboratory of Nonlinear Analysis and Applications(Central China Normal University),Ministry of Education,P.R.China(NAA2024ORG003);Gu's research was supported by the Zhejiang Provincial Natural Science Foundation(LQ21A010014);the NFSC(12101577).
In this paper,we study the elliptic system{-Δu+V(x)u=|v|^(p-2)v-λ_(2)|v|^(s2-2)v,-Δu+V(x)v=|u|^(p-2)u-λ_(1)|u|^(s1-2)u,u,v∈H^(1)(R^(N))with strongly indefinite structure and sign-changing nonlinearity.We overcome...
supported by the NSFC(12271178,12171166);the Guangzhou Basic and Applied Basic Research Foundation(2024A04J2022);the TCL Young Scholar(2024-2027).
In this paper,we study the self-similar solutions of the degenerate diffusion equation ut-div(|▽u^(m)|^(p-2)▽u^(m))=0 of polytropic filtration diffusion in R^(N)×(0,±∞)or(R^(N)/{0})×(0,±∞)with N≥1,m>0,p>1,suc...