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EXPONENTS: 作品数：442被引量：486H指数：9; 导出分析报告; 相关领域：理学更多>>; 相关作者：杜刚姜淑珍更多>>; 相关机构：喀什师范学院长春师范学院南京师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家高技术研究发展计划上海市教育委员会重点学科基金更多>>

MULTIFRACTAL ANALYSIS OF CONVERGENCE EXPONENTS FOR PRODUCTS OF CONSECUTIVE PARTIAL QUOTIENTS IN CONTINUED FRACTIONS: 《Acta Mathematica Scientia》2024年第4期1594-1608,共15页Lulu FANG Jihua MA Kunkun SONG Xin YANG; supported by the Scientific Research Fund of Hunan Provincial Education Department(21B0070);the Natural Science Foundation of Jiangsu Province(BK20231452);the Fundamental Research Funds for the Central Universities(30922010809);the National Natural Science Foundation of China(11801591,11971195,12071171,12171107,12201207,12371072)。; For each real number x∈(0,1),let[a_(1)(x),a_(2)(x),…,a_n(x),…]denote its continued fraction expansion.We study the convergence exponent defined byτ(x)=inf{s≥0:∞∑n=1(a_(n)(x)a_(n+1)(x))^(-s)<∞},which reflects t...; 关键词：continued fractions product of partial quotients Hausdorff dimension

TWO DISJOINT AND INFINITE SETS OF SOLUTIONS FOR AN ELLIPTIC EQUATION INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS: 《Acta Mathematica Scientia》2023年第5期2061-2074,共14页Khalid BOUABID Rachid ECHARGHAOUI Mohssine EL MANSOUR; In this paper,by an approximating argument,we obtain two disjoint and infinite sets of solutions for the following elliptic equation with critical Hardy-Sobolev exponents■whereΩis a smooth bounded domain in RN with ...; 关键词：Laplacien critical Sobolev-Hardy exponent critical Sobolev exponent infinitely many solutions Pohozaev identity

NONLINEAR STOCHASTIC HEAT EQUATION DRIVEN BY SPATIALLY COLORED NOISE:MOMENTS AND INTERMITTENCY被引量：1: 《Acta Mathematica Scientia》2019年第3期645-668,共24页Le CHEN Kunwoo KIM; supported by the National Research Foundation of Korea (NRF-2017R1C1B1005436);the TJ Park Science Fellowship of POSCO TJ Park Foundation; In this article, we study the nonlinear stochastic heat equation in the spatial domain R^d subject to a Gaussian noise which is white in time and colored in space. The spatial correlation can be any symmetric, nonnega...; 关键词：Stochastic heat equation MOMENT ESTIMATES phase transition intermittency intermittency FRONT measure-valued initial data MOMENT LYAPUNOV EXPONENTS

A NECESSARY CONDITION FOR CERTAIN INTEGRAL EQUATIONS WITH NEGATIVE EXPONENTS: 《Acta Mathematica Scientia》2019年第1期284-296,共13页Jiankai XU Zhong TAN Weiwei WANG Zepeng XIONG; Supported by National Natural Science Foundation of China(11126148,11501116,11671086,11871208);Natural Science Foundation of Hunan Province of China(2018JJ2159);the Project Supported by Scientific Research Fund of Hunan Provincial Education Department(16C0763);the Education Department of Fujian Province(JA15063); This paper is devoted to studying the existence of positive solutions for the following integral system {u(x)=∫_(R^n)|x-y|~λv-~q(y)dy, ∫_(R^n)|x-y|~λv-~p(y)dy,p,q>0,λ∈(0,∞),n≥1.It is shown that if(u,v) is a pa...; 关键词：integral equations Lane-Emden system CONFORMAL INVARIANCE positive solutions existence

CRITICAL EXTINCTION EXPONENTS FOR POLYTROPIC FILTRATION EQUATIONS WITH NONLOCAL SOURCE AND ABSORPTION: 《Acta Mathematica Scientia》2015年第2期366-374,共9页李海霞韩玉柱高文杰; supported by NSFC(11271154,11401252);Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education,the 985 program of Jilin University;Fundamental Research Funds of Jilin University(450060501179);supported by Graduate Innovation Fund of Jilin University(2014084); In this article, by applying the super-solution and sub-solution methods, instead of energy estimate methods, the authors investigate the critical extinction exponents for a polytropic filtration equation with a nonlo...; 关键词：Polytropic filtration equation critical exponent EXTINCTION super-solution and sub-solution

EXISTENCE RESULTS FOR DEGENERATE ELLIPTIC EQUATIONS WITH CRITICAL CONE SOBOLEV EXPONENTS被引量：1: 《Acta Mathematica Scientia》2014年第6期1907-1921,共15页范海宁刘晓春; supported by NSFC(11371282); In this paper, we study the existence result for degenerate elliptic equations with singular potential and critical cone sobolev exponents on singular manifolds. With the help of the variational method and the theory ...; 关键词：existence results variational method critical cone Sobolev exponent singular potential

EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC SYSTEMS INVOLVING m CRITICAL HARDY-SOBOLEV EXPONENTS AND m SIGN-CHANGING WEIGHT FUNCTION被引量：4: 《Acta Mathematica Scientia》2014年第2期483-500,共18页Nemat NYAMORADI Tsing-San HSU; In this article, we consider a class of degenerate quasilinear elliptic problems with weights and nonlinearity involving the critical Hardy-Sobolev exponent and one sign- changing function. The existence and multiplic...; 关键词：Nontrivial non-negative solutions Nehari manifold critical Hardy-Sobolev ex-ponent

POSITIVE SOLUTIONS TO THE p-LAPLACIAN WITH SINGULAR WEIGHTS被引量：1: 《Acta Mathematica Scientia》2012年第3期1002-1020,共19页王影罗党王明新; supported by the National Natural Science Foundation of China10771032; By the Mountain Pass Theorem, we study existence and multiplicity of posi- tive solutions of p-laplacian equation of the form - △pu =λf （x, u）, the nonlinearity f （x, u） grows as u^δ at infinity with a singular...; 关键词：p-Laplazian variational methods Sobolev-Hardy exponents

MULTIPLICITY OF POSITIVE SOLUTIONS FOR SINGULAR ELLIPTIC SYSTEMS WITH CRITICAL SOBOLEV-HARDY AND CONCAVE EXPONENTS被引量：9: 《Acta Mathematica Scientia》2011年第3期791-804,共14页Tsing-San Hsu Huei-Lin Li; In this paper,we consider a singular elliptic system with both concave non-linearities and critical Sobolev-Hardy growth terms in bounded domains.By means of variational methods,the multiplicity of positive solutions ...; 关键词：elliptic system critical Sobolev-Hardy exponent concave exponents Nehari manifold

SOLUTIONS FOR THE QUASILINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS被引量：6: 《Acta Mathematica Scientia》2010年第5期1529-1540,共12页康东升; supported partly by the National Natural Science Foundation of China (10771219); In this article, we study the quasilinear elliptic problem involving critical Hardy Sobolev exponents and Hardy terms. By variational methods and analytic techniques, we obtain the existence of sign-changing solutions...; 关键词：quasilinear problem critical exponent solution variational method

EXPONENTS