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CRITICAL: 作品数：1655被引量：2542H指数：17; 导出分析报告; 相关领域：医药卫生更多>>; 相关作者：赵燕冰霍元极钱国栋肖祎王扬更多>>; 相关机构：浙江师范大学张家口职业技术学院对外经济贸易大学西安外国语大学更多>>; 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教育部博士点基金中国博士后科学基金更多>>

ON THE EMPTY BALLS OF A CRITICAL OR SUBCRITICAL BRANCHING RANDOM WALK: 《Acta Mathematica Scientia》2024年第5期2051-2072,共22页Shuxiong ZHANG Jie XIONG; supported by the National Key R&D Program of China(2022YFA1006102).; Let{Z_(n)}_(n)≥0 be a critical or subcritical d-dimensional branching random walk started from a Poisson random measure whose intensity measure is the Lebesugue measure on R^(d).Denote by R_(n):=sup{u>0:Z_(n)({x∈R^(...; 关键词：empty ball DIMENSION branching random walk super-Brownian motion

GLOBAL SOLUTIONS IN THE CRITICAL SOBOLEV SPACE FOR THE LANDAU EQUATION: 《Acta Mathematica Scientia》2024年第4期1347-1372,共26页Hao WANG; supported by the NSFC(12301284)。; The Landau equation is studied for hard potential with-2≤γ≤1.Under a perturbation setting,a unique global solution of the Cauchy problem to the Landau equation is established in a critical Sobolev space H_(x)^(d)L_...; 关键词：Landau equation nonlinear energy method global existence pseudo-differential calculus

MULTIPLE SOLUTIONS TO CRITICAL MAGNETIC SCHRODINGER EQUATIONS: 《Acta Mathematica Scientia》2024年第4期1373-1393,共21页Ruijiang WEN Jianfu YANG; supported by the National Natural Science Foundation of China(12171212)。; In this paper,we are concerned with the existence of multiple solutions to the critical magnetic Schrödinger equation(-i▽-a(x))^(2)u+⒂λV(x)u=p|u|^(p-2)u+(∫R(n)|u(y)|^(2)_(a)^(*)/|x-y|^(a)dy)|u|2_(a)^(*)-2_(u)in R^...; 关键词：critical magnetic Schrödinger equation multiple solutions Ljusternik-Schnirelman theory

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

QUASILINEAR EQUATIONS USING A LINKING STRUCTURE WITH CRITICAL NONLINEARITIES: 《Acta Mathematica Scientia》2022年第3期975-1002,共28页Edcarlos D.SILVA Jefferson S.SILVA; partially supported by CNPq with(429955/2018-9);partially suported by CNPq(309026/2020-2);FAPDF with(16809.78.45403.25042017)。; It is to establish existence of a weak solution for quasilinear elliptic problems assuming that the nonlinear term is critical.The potential V is bounded from below and above by positive constants.Because we are consi...; 关键词：Quasilinear Schrödinger equations linking theorems superlinear elliptic equations critical nonlinearities Bounded potentials

A FRACTIONAL CRITICAL PROBLEM WITH SHIFTING SUBCRITICAL PERTURBATION: 《Acta Mathematica Scientia》2022年第3期1113-1124,共12页Qi LI Chang-Lin XIANG; supported by the excellent doctorial dissertation cultivation grant(2018YBZZ067)from Central China Normal University;financially supported by the National Natural Science Foundation of China(11701045);the Yangtze Youth Fund(2016cqn56)。; In this paper,we consider a class of fractional problem with subcritical perturbation on a bounded domain as follows:(P_(k)){(−△)^(s)u = g(x)[(u − k)+]^(q−1) +u^(2^(∗)_(s)−1), x ∈Ω ,u > 0, x∈Ω ,u = 0, x ∈Ω R^(...; 关键词：Subcritical perturbation nontrivial solutions CONCENTRATION

GROUND STATES FOR FRACTIONAL SCHRODINGER EQUATIONS WITH ELECTROMAGNETIC FIELDS AND CRITICAL GROWTH被引量：3: 《Acta Mathematica Scientia》2020年第1期59-74,共16页Quanqing LI Wenbo WANG Kaimin TENG Xian WU; supported in part by the NationalNatural Science Foundation of China(11801153,11501403,11701322,11561072);the Honghe University Doctoral Research Programs(XJ17B11,XJ17B12,DCXL171027,201810687010);the Yunnan Province Applied Basic Research for Youths(2018FD085);the Yunnan Province Local University(Part)Basic Research Joint Project(2017FH001-013);the Natural Sciences Foundation of Yunnan Province(2016FB011);the Yunnan Province Applied Basic Research for General Project(2019FB001);Technology Innovation Team of University in Yunnan Province。; In this article,we study the following fractional Schrodinger equation with electromagnetic fields and critical growth(-Δ)^sAu+V(x)u=|u|^2^*s-2)u+λf(x,|u|^2)u,x∈R^n,where(-Δ)^sA is the fractional magnetic operator...; 关键词：FRACTIONAL SCHRODINGER EQUATION FRACTIONAL magnetic OPERATOR CRITICAL growth

A GLOBAL EXISTENCE RESULT FOR KORTEWEG SYSTEM IN THE CRITICAL L^P FRAMEWORK: 《Acta Mathematica Scientia》2019年第6期1639-1660,共22页Zhensheng GAO Yan LIANG Zhong TAN; supported by Natural Science Foundation of Fujian Province(JZ160406);partly supported by National Natural Science Foundation of China-NSAF(11271305 and 11531010); The purpose of this work is to investigate the initial value problem for a general isothermal model of capillary fluids derived by Dunn and Serrin [12], which can be used as a phase transition model. Motivated by [9],...; 关键词：Korteweg SYSTEM GLOBAL EXISTENCE L^p-type BESOV norms

EXISTENCE OF NONTRIVIAL SOLUTIONS FOR GENERALIZED QUASILINEAR SCHRDINGER EQUATIONS WITH CRITICAL OR SUPERCRITICAL GROWTHS被引量：5: 《Acta Mathematica Scientia》2017年第6期1870-1880,共11页李全清吴鲜; supported in part by the National Natural Science Foundation of China(11501403;11461023);the Shanxi Province Science Foundation for Youths under grant 2013021001-3; In this paper, we study the following generalized quasilinear Schrodinger equa- tions with critical or supercritical growths-div（g2（u）△u）＋ g（u）g＇（u）｜△u｜2 ＋ V（x）u = f（x, u）＋ λ｜u｜P-2 u, x ∈ RN,...; 关键词：quasilinear Schrodinger equations critical or supercritical growths variationalmethods

THREE SOLUTIONS FOR A FRACTIONAL ELLIPTIC PROBLEMS WITH CRITICAL AND SUPERCRITICAL GROWTH被引量：1: 《Acta Mathematica Scientia》2016年第6期1819-1831,共13页张金国刘晓春; Supported by NSFC(11371282,11201196);Natural Science Foundation of Jiangxi(20142BAB211002); In this paper, we deal with the existence and multiplicity of solutions to the frac- tional elliptic problems involving critical and supercritical Sobolev exponent via variational arguments. By means of the truncation...; 关键词：fractional elliptic equation variational methods three solutions Moser itera-tion

CRITICAL