云南高校图书馆联盟文献共享服务平台- Acta Mathematica Scientia

《Acta Mathematica Scientia》: 作品数：3765被引量：4645H指数：19; 导出分析报告; 主办单位：中国科学院精密测量科学与技术创新研究院; 最新期次：2025年1期更多>>; 发文主题：EXISTENCESOLUTIONSEQUATIONCLASSSOME更多>>; 发文领域：理学自动化与计算机技术经济管理文化科学更多>>; 发文基金：国家自然科学基金广东省自然科学基金国家重点基础研究发展计划中国博士后科学基金更多>>

THE EXISTENCE OF NONTRIVIAL SOLUTIONS TO A SEMILINEAR ELLIPTIC SYSTEM ON R N WITHOUT THE AMBROSETTI-RABINOWITZ CONDITION被引量：7: 《Acta Mathematica Scientia》2010年第6期1917-1936,共20页李工宝王春花; supported by NSFC (10571069, 10631030) and Hubei Key Laboratory of Mathematical Sciences;supported by the fund of CCNU for PHD students(2009019); In this paper, we prove the existence of at least one positive solution pair （u, v）∈ H1（RN） × H1（RN） to the following semilinear elliptic system {-△u＋u=f（x,v）,x∈RN,-△u＋u=g（x,v）,x∈RN （0.1）,by using ...; 关键词：EXISTENCE nontrivial solution semilinear elliptic system without the （AR） condition

INFINITELY MANY SOLUTIONS FOR AN ELLIPTIC PROBLEM INVOLVING CRITICAL NONLINEARITY被引量：2: 《Acta Mathematica Scientia》2010年第6期2017-2032,共16页曹道民严树森; supported by Key Project (10631030) of NSFC;Knowledge Innovation Funds of CAS in China;supported by ARC in Australia; We study the following elliptic problem：{-div（a（x）Du）=Q（x）｜u｜2-2u＋λu x∈Ω,u=0 onδΩ Under certain assumptions on a and Q, we obtain existence of infinitely many solutions by variational method.; 关键词：semilinear elliptic equations infinitely many solutions variational method

MULTIPLE STATIONARY SOLUTIONS OF EULER-POISSON EQUATIONS FOR NON-ISENTROPIC GASEOUS STARS被引量：8: 《Acta Mathematica Scientia》2010年第6期2077-2088,共12页邓引斌谢华朝; supported by NSFC (10631030, 11071094);the fund of CCNU for Ph.D students (2009021); The motion of the self-gravitational gaseous stars can be described by the Euler-Poisson equations. The main purpose of this paper is concerned with the existence of stationary solutions of Euler-Poisson equations for...; 关键词：Euler-Poisson equations non-isentropic stationary solutions

POSITIVE SOLUTIONS FOR WEAKLY COUPLED NONLINEAR ELLIPTIC SYSTEMS被引量：1: 《Acta Mathematica Scientia》2010年第5期1577-1592,共16页龙静杨健夫; supported by National Natural Science Foundations of China(10631030,10961016); In this article, we consider the existence of positive solutions for weakly coupled nonlinear elliptic systems {-△u＋u=（1＋a（x））｜u｜P-1u＋μ｜u｜a-2u｜v｜β＋λv in Rn,-△u＋u=（1＋b（x））｜v｜p-1v＋μ｜u｜a｜...; 关键词：Elliptic system in RN positive solution BIFURCATION variational method

STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE被引量：2: 《Acta Mathematica Scientia》2010年第4期1347-1356,共10页邓引斌巴娜谢华朝; supported by NSFC (10631030);the fund of CCNU for Ph.D Students (2009021); The motion of the self-gravitational gaseous stars can be described by the Euler-Poisson equations. The main purpose of this article is concerned with the nonlinear stability of gaseous stars in the non-isentropic cas...; 关键词：Euler-Poisson equations non-isentropic STABILITY

MULTIPLE SOLUTIONS FOR SCHRDINGER EQUATIONS WITH MAGNETIC FIELD被引量：1: 《Acta Mathematica Scientia》2009年第5期1323-1340,共18页彭超权杨健夫; supported by NSF of South-Central University for Nation-alities (yzz08001);supported by NNSF of China (10571175 and 10631030); The authors consider the semilinear SchrSdinger equation -△Au＋Vλ（x）u= Q（x）｜u｜γ-2u in R^N, where 1 〈 γ 〈 2＊ and γ≠ 2, Vλ= V^＋ -λV^-. Exploiting the relation between the Nehari manifold and fibrering...; 关键词：Nehari manifold fibrering maps Schrodinger equation

NONTRIVIAL SOLUTIONS FOR SEMILINEAR SCHRDINGER EQUATIONS被引量：1: 《Acta Mathematica Scientia》2009年第5期1405-1420,共16页刘芳杨健夫; supported by the NSFC (10571175and 10631030); The authors prove the existence of nontrivial solutions for the SchrSdinger equation -△u ＋ V（x）u =λf（x, u） in R^N, where f is superlinear, subcritical and critical at infinity, respectively, V is periodic.; 关键词：SchrSdinger equation the relative Morse index minimax method

REGULARITY OF THE SOLUTIONS FOR NONLINEAR BIHARMONIC EQUATIONS IN R^N被引量：6: 《Acta Mathematica Scientia》2009年第5期1469-1480,共12页邓引斌李亦; Supported by the National Natural Science Foundation of China (10631030);PHD specialized grant of Ministry of Education of China (20060511001) and supported in part by the Xiao-Xiang Special Fund, Hunan; The purpose of this article is to establish the regularity of the weak solutions for the nonlinear biharmonic equation {△^2u ＋ a（x）u = g（x, u）u∈ H^2（R^N）, where the condition u∈ H^2（R^N） plays the role o...; 关键词：nonlinear biharmonic equation REGULARITY fundamental solutions

MULTIPLE SOLUTIONS FOR THE p&q-LAPLACIAN PROBLEM WITH CRITICAL EXPONENT被引量：8: 《Acta Mathematica Scientia》2009年第4期903-918,共16页李工宝张国; Supported by NSFC (10571069 and 10631030) ;the Lap of Mathematical Sciences, CCNU, Hubei Province, China; In this paper, we study the existence of multiple solutions for the following nonlinear elliptic problem of p＆q-Laplacian type involving the critical Sobolev exponent：{-△pu-△qu=│u│^p＊-2u＋μ│u│^r-2u in Ω u...; 关键词：p＆q-Laplacian multiplicity of solutions critical exponent

BOUND STATES FOR A STATIONARY NONLINEAR SCHRDINGER-POISSON SYSTEM WITH SIGN-CHANGING POTENTIAL IN R^3被引量：2: 《Acta Mathematica Scientia》2009年第4期1095-1104,共10页蒋永生周焕松; Supported by NSFC(10631030) and CAS-KJCX3-SYW-S03; We study the following Schrodinger-Poisson system where （Pλ）{-△u＋ V（x）u＋λФ（x）u^p=x∈R^3,-△Ф=u^2,lim│x│→∞Ф（x） =0,u〉0,where λ≥0 is a parameter,1 〈 p 〈＋∞, V（x） and Q（x）=1 ,D.Ruiz[19] prov...; 关键词：Schrodinger-Poisson system sub-supersolutions supercritical Sobolev expo-nent sign-changing potential bound state

《Acta Mathematica Scientia》