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SOBOLEV: 作品数：262被引量：278H指数：7; 导出分析报告; 相关领域：理学更多>>; 相关作者：姚仰新康东升沈尧天刘永平张靖更多>>; 相关机构：华中师范大学中南民族大学西南大学华南理工大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金中国博士后科学基金北京市自然科学基金更多>>

ON THE SOBOLEV DOLBEAULT COHOMOLOGY OF A DOMAIN WITH PSEUDOCONCAVE BOUNDARIES: 《Acta Mathematica Scientia》2024年第2期431-444,共14页陈健; In this note,we mainly make use of a method devised by Shaw[15]for studying Sobolev Dolbeault cohomologies of a pseudoconcave domain of the type Ω=Ω\∪_(j=1^(m))Ω_(j),where Ω and {Ω_(j)}_(j=1^(m)■Ω are bounded ...; 关键词：Cauchy-Riemann equations pseudoconcave domains δ-Neumann operator Bergman spaces

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

IMPROVED REGULARITY OF HARMONIC DIFFEOMORPHIC EXTENSIONS ON QUASIHYPERBOLIC DOMAINS: 《Acta Mathematica Scientia》2023年第1期373-386,共14页王壮徐海清; partially supported by the Young Scientist Program of the Ministry of Science and Technology of China(2021YFA1002200);supported by National Natural Science Foundation of China(12101226);partially supported by the National Natural Science Foundation of China(12101362);supported by Shandong Provincial Natural Science Foundation(ZR2021QA032)。; Let X be a Jordan domain satisfying certain hyperbolic growth conditions.Assume that φ is a homeomorphism from the boundary ?X of X onto the unit circle.Denote by h the harmonic diffeomorphic extension of φ from X o...; 关键词：Poisson extension Orlicz-Sobolev homeomorphisms weighted Sobolev homeomorphisms quasihyperbolic domains

EXISTENCE TO FRACTIONAL CRITICAL EQUATION WITH HARDY-LITTLEWOOD-SOBOLEV NONLINEARITIES: 《Acta Mathematica Scientia》2021年第4期1321-1332,共12页Nemat NYAMORADI Abdolrahman RAZANI; In this paper,we consider the following new Kirchhoff-type equations involving the fractional p-Laplacian and Hardy-Littlewood-Sobolev critical nonlinearity:(A+B∫∫_(R^(2N))|u(x)-u(y)|^(p)/|x-y|^(N+ps)dxdy)^(p-1)(-△...; 关键词：Hardy-Littlewood-Sobolev inequality concentration-compactness principle variational method Fractional p-Laplacian operators multiple solutions

REDUCIBILITY FOR A CLASS OF ANALYTIC MULTIPLIERS ON SOBOLEV DISK ALGEBRA: 《Acta Mathematica Scientia》2021年第2期361-370,共10页Yong CHEN Ya LIU Chuntao QIN; supported by NSFC(11771401);ZJNSFC(LY14A010013).; We prove the reducibility of analytic multipliers M_(φ)with a class of finite Blaschke products symbolφon the Sobolev disk algebra R(D).We also describe their nontrivial minimal reducing subspaces.; 关键词：Reducing subspace MULTIPLIER finite Blaschke product Sobolev disk algebra

THE PERTURBATION PROBLEM OF AN ELLIPTIC SYSTEM WITH SOBOLEV CRITICAL GROWTH: 《Acta Mathematica Scientia》2020年第5期1391-1404,共14页Qi LI; supported by the excellent doctorial dissertation cultivation grant(2018YBZZ067 and 2019YBZZ057)from Central China Normal University.; In this paper,we study the following perturbation problem with Sobolev critical exponen t:{-Δu=(1+εK(x))u^2*-1+α/2*u^a-1v^3+εh(x)u^pP,x∈R^N,-Δu=(1+εQ(x))v^2*-1+β/2*u^B-1+εl(x)u^q,x∈R^N,u>0,v>0,x∈R^N where 0...; 关键词：perturbation argument finite dimensional reduction method critical exponent

GRADIENT ESTIMATES FOR THE COMMUTATOR WITH FRACTIONAL DIFFERENTIATION FOR SECOND ORDER ELLIPTIC OPERATORS被引量：1: 《Acta Mathematica Scientia》2019年第5期1255-1264,共10页Wenyu TAO bnping CHEN Jili LI; supported by NSFC(11471033),NCET of China(NCET-11-0574);the Fundamental Research Funds for the Central Universities(FRF-BR-16-011A); Let L=-div(A▽) be a second order divergence form elliptic operator, where A is an accretive, n×n matrix with bounded measurable complex coefficients on R^n. Let L^α/2 (0 <α< 1) denotes the fractional differential ...; 关键词：COMMUTATOR FRACTIONAL differentiation ELLIPTIC OPERATORS SOBOLEV space

HARDY'S INEQUALITIES WITH MAXIMIZERS FOR W^(1,p) FUNCTIONS ON BOUNDED STAR DOMAINS: 《Acta Mathematica Scientia》2019年第1期26-36,共11页Ahmed A.ABDELHAKIM; With the help of a radially invariant vector field, we derive inequalities of the Hardy kind, with no boundary terms, for W^(1,p) functions on bounded star domains. Our results are not obtainable from the classical in...; 关键词：HARDY type INEQUALITIES radially invariant vector field SOBOLEV maximizers STAR DOMAINS trace operator

GLOBALLY ATTRACTING SOLUTIONS TO IMPULSIVE FRACTIONAL DIFFERENTIAL INCLUSIONS OF SOBOLEV TYPE: 《Acta Mathematica Scientia》2017年第5期1295-1318,共24页Van Hien LE Dinh Ke TRAN Trong Kinh CHU; supported by Vietnam National Foundation for Science and Technology Development(NAFOSTED)under grant number 101.02-2015.18; We study a generalized Cauchy problem associated with a class of impulsive fractional differential inclusions of Sobolev type in Banach spaces. Our aim is to prove the existence of a compact set of globally attracting...; 关键词：globally attracting solution impulsive condition nonlocal condition condensing map measure of non-compactness MNC-estimate

CLASSIFICATION OF POSITIVE SOLUTIONS TO ASYSTEM OF HARDY-SOBOLEV TYPE EQUATIONS被引量：1: 《Acta Mathematica Scientia》2017年第5期1415-1436,共22页戴蔚刘招; supported by the NNSF of China(11371056);partly supported by the NNSF of China(11501021);the China Postdoctoral Science Foundation(2013M540057);partly supported by Scientific Research Fund of Jiangxi Provincial Education Department(GJJ160797); In this paper, we are concerned with the following Hardy-Sobolev type system{(-?)^(α/2) u(x) =v^q(x)/|y|^(t_2) (-?)α/2 v(x) =u^p(x)/|y|^(t_1),x =(y, z) ∈(R ~k\{0}) × R^(n-k),(0.1)where 0 < α < n, 0 < t_1, t_2 < m...; 关键词：Hardy-Sobolev type systems systems of fractional Laplacian systems of integral equations method of moving planes in integral forms radial symmetry NONEXISTENCE

SOBOLEV