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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 
A LIMIT LAW FOR FUNCTIONALS OF MULTIPLE INDEPENDENT FRACTIONAL BROWNIAN MOTIONS
《Acta Mathematica Scientia》2020年第3期734-754,共21页Qian YU 
Q.Yu is partially supported by ECNU Academic Innovation Promotion Program for Excellent Doctoral Students(YBNLTS2019-010);the Scientific Research Innovation Program for Doctoral Students in Faculty of Economics and Management(2018FEM-BCKYB014).
Let B={B^H(t)}t≥0 be a d-dimensional fractional Brownian motion with Hurst parameter H∈(0,1).Consider the functionals of k independent d-dimensional fractional Brownian motions 1/√n∫0^ent1⋯∫0^entk f(B^H,1(s1)+⋯+B...
关键词：Limit theorem fractional Brownian motion method of moments chaining argument 
SOLVABILITY OF AN IMPLICIT FRACTIONAL INTEGRAL EQUATION VIA A MEASURE OF NONCOMPACTNESS ARGUMENT
《Acta Mathematica Scientia》2017年第1期195-204,共10页Juan J.NIETO Bessem SAMET 
support by the Ministerio de Economica y Competitividad of Spain under grant MTM2013-43014-P;XUNTA under grants R2014/002 and GRC2015/004;co-financed by the European Community fund FEDER;extends his appreciation to Distinguished Scientist Fellowship Program(DSFP)at King Saud University(Saudi Arabia)
In this paper,we study the existence of solutions to an implicit functional equation involving a fractional integral with respect to a certain function,which generalizes the Riemann-Liouville fractional integral and t...
关键词：umplicit fractional integral equation measure of noncompactness Darbo＇stheorem 
OPTIMAL CONDITIONS OF GLOBAL EXISTENCE AND BLOW-UP FOR A NONLINEAR PARABOLIC EQUATION被引量：1
《Acta Mathematica Scientia》2016年第3期872-880,共9页蒋毅 罗川 
supported by National Natural Science Foundation of China(11126336 and 11201324);New Teachers’Fund for Doctor Stations,Ministry of Education(20115134120001);Fok Ying Tuny Education Foundation(141114);Youth Fund of Sichuan Province(2013JQ0027)
According to the variational analysis and the potential well argument, we get the optimal conditions of global existence and blow-up for a type of nonlinear parabolic equations. Furthermore, we give its application in...
关键词：nonlinear parabolic equation variational analysis potential well argument global existence blow up 
THE FEKETE-SZEG PROBLEM FOR CLOSE-TO-CONVEX FUNCTIONS WITH RESPECT TO THE KOEBE FUNCTION被引量：1
《Acta Mathematica Scientia》2014年第5期1571-1583,共13页Bogumila KOWALCZYK Adam LECKO 
An analytic function f in the unit disk D ：= {z ∈ C ： ｜z｜ 〈 1}, standardly normalized, is called close-to-convex with respect to the Koebe function k（z） ：= z/（1-z）2, z ∈ D, if there exists δ ∈ （-π/2,...
关键词：Fekete-Szego problem close-to-convex functions close-to-convex functionswith respect to the Koebe function close-to-convex functions with argumentδ functions convex in the positive direction of the imaginary axis 
CLASSES OF MEROMORPHIC FUNCTIONS ASSOCIATED WITH CONIC REGIONS被引量：2
《Acta Mathematica Scientia》2012年第2期765-774,共10页J.Dziok 
The object of this article is to introduce new classes of meromorphic functions associated with conic regions. Several properties like the coefficient bounds, growth and distortion theorems, radii of starlikeness and ...
关键词：Meromorphic functions conic regions varying argument SUBORDINATION Hadamard product CONVOLUTION 
A UNIFIED CLASS OF ANALYTIC FUNCTIONS WITH FIXED ARGUMENT OF COEFFICIENTS被引量：2
《Acta Mathematica Scientia》2011年第4期1357-1366,共10页J. Dziok 
In this paper we introduce new classes of analytic functions with fixed argument of coefficients defined by subordination. Coefficient estimates, distortion theorems, integral means inequalities, and the radii of conv...
关键词：analytic functions fixed argument SUBORDINATION Hadamard product 
GLOBAL EXISTENCE OF SOLUTIONS FOR ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE被引量：2
《Acta Mathematica Scientia》2010年第6期1889-1905,共17页王淑娟 赵俊宁 
We prove the existence of global solutions to the initial-boundary-value problem on the half space R＋ for a one-dimensional viscous ideal polytropic gas. Some suitable assumptions are made to guarantee the existence ...
关键词：impermeable problem global existence continuity argument 
ON THE RADIAL GROUND STATE OF P-LAPLACIAN EQUATION WITH GRADIENT TERM PERTURBATION
《Acta Mathematica Scientia》2000年第2期219-228,共10页宣本金 陈祖墀 
In this paper, authors consider the existence, uniqueness and nonexistence of the radial ground state to the following p-laplacian equation: Delta(p)u + u(q) - \Du\(sigma) = 0, x epsilon Rn, where 2 less than or equal...
关键词：p-Laplacian equation radial ground state shooting argument 
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