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《Journal of Southwest China Normal University(Natural Science Edition)》 2008-06
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Boundedness of the Solution to the Nonlinear Kirchhoff Equation

ZHANG Yan1,PU Zhi-lin2,CHEN Bo-tao31.School of Mathematics and Computer Science,Xihua University,Chengdu 610039,China;2.School of Mathematics and Software,Sichuan Normal University,Chengdu 610066,China;3.Department of Mathematics,Changjiang Teacher's College,Chongqing 408000,Chin  
In this paper,by Galerkin approximation,the existence of solution for nonlinear Kirchhoff equation is proved.Moreover,the boundedness of solutions and the existence of bounded absorbing set are obtained.
【Fund】： 四川省杰出青年基金资助项目(06ZQ026-O37).
【CateGory Index】： O175
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【Citations】
Chinese Journal Full-text Database 4 Hits
1 LI Hui,PU Zhi-lin,CHEN Guang-gan(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);The Existence of Solutions for a Class of Nonlinear Elliptic Equations with Critical Exponent[J];Journal of Sichuan Normal University(Natural Science);2006-04
2 LIAO Wei1, PU Zhi-lin2(1. Department of Mathematics, Neijiang Teacher’s College, Neijiang 641112, Sichuan; 2. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);The Existence of Positive Solution of the Dirichlet Problem for Some Quasilinear Elliptic Equations[J];Journal of Sichuan Normal University(Natural Science);2007-01
3 WANG Yu-lan~1, SONG Xiao-jun~2, ZHANG Yan~11. School of Mathematics and Computer Science, Xihua University, Chengdu 610039, China;2. Department of Mathematics, Xihua Normal University, Nanchong Sichuan 637002, China;Blow-up for a Reaction-Diffusion System[J];Journal of Southwest China Normal University(Natural Science Edition);2006-05
4 LI Zhong-ping~(1,2) WANG Xiong-rui~3 ZHOU Jun~(1,4) 1.School of Mathematics,Sichuan University,Chengdu Sichuan 610064,China;2.School of Mathematics and Information,China West Normal University,Nanchong Sichuan 637002,China;3.Dept.of Mathematics,Yibin College,Yibin Sichuan 644007,China;4.School of mathematics and statistics,Southwest University,Chongqing 400715,China;Global Existence and Blow-up for a Localized Reaction-Diffusion System[J];Journal of Southwest China Normal University(Natural Science Edition);2007-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 YUE Bei,CUI Ze-jian,FENG Xiao-gao(College of Mathematics and Information,China West Normal University,Sichuan Nanchong 637002,China);Global Existence and Blow-up for a Degenerate Parabolic System with Nolocal Source[J];Journal of China West Normal University(Natural Sciences);2011-01
2 HUANG Juan,PU Zhi-lin,CHEN Guang-gan(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);The Concentration-compactness of a Nonlinear Elliptic Equation on R~N[J];Journal of Sichuan Normal University(Natural Science);2006-06
3 ZHAO Zhi-kun~(1,2),PU Zhi-lin~2(1.Department of Mathematics and Information Science,Mianyang Normal University,Mianyang 621000,Sichuan;2.College of Mathematics and Software Science,Sichuan Normal University, Chengdu 610066,Sichuan);The Existence of Solutions for a Class of Elliptic Equations with Indefinite Weight[J];Journal of Sichuan Normal University(Natural Science);2006-06
4 HUANG Juan,PU Zhi-lin,CHEN Guang-gan(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);The Properties of the Nehari Manifold for the Nonlinear Elliptic Equation Involving a Sublinear Term[J];Journal of Sichuan Normal University(Natural Science);2008-02
5 HUANG Xin1,PU Zhi-lin1,LUO Tian-qi2(1.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan;2.Department of Mathematics,Leshan Teacher's College,Leshan 614004,Sichuan);Application of the Mountain Pass Theorem to Asymptotically Linear Elliptic Equations[J];Journal of Sichuan Normal University(Natural Science);2008-02
6 JIANG Liang-jun1,LI Hui-ling2(1.Department of Mathematics,Nanjing Xiaozhuang College,Nanjing 210017,Jiangsu;2.Department of Mathematics,Southeast University,Nanjing 210018,Jiangsu);Uniform Blow-up Properties for a Parabolic System with Nonlocal Sources[J];Journal of Sichuan Normal University(Natural Science);2008-06
7 LIAO Wei1,2, PU Zhi-lin3(1. College of Mathematics and Information Science,Neijiang Normal College,Neijiang 641112,Sichuan; 2. Key Laboratory of Numerical Simulation of Sichuan Province,Neijiang Normal College,Neijiang 641112,Sichuan;3. College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);The Existence of Nontrivial Weak Solution of the Dirichlet Problem for Quasilinear Elliptic Equations[J];Journal of Sichuan Normal University(Natural Science);2009-06
8 WANG Xiao-jing,PU Zhi-lin,DAI Bing(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);The Solutions for a Superlinear Elliptic Equation on R~N[J];Journal of Sichuan Normal University(Natural Science);2010-02
9 QIN Yu-ping1,2,ZHANG Shuang1,3 PU Zhi-lin2,(1.Engineering and Technical College,Chengdu Uinversity of Technology,Leshan 614000,Sichuan; 2.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan; 3.Biomedicine Department of Electrical and Electronics Engineering,Faculty of Science and Technology,University of Macau,Macau 999078);Exponential Decay for Solutions to Kirchhoff Equation[J];Journal of Sichuan Normal University(Natural Science);2012-03
10 LU Haixia(Department of Teachers Education,Suqian College,Suqian 223800,Jiangsu);Existence of Positive Solutions for the Boundary Value Problems of Nonlinear Elliptic Partial Differential Equations[J];Journal of Sichuan Normal University(Natural Science);2013-04
【Secondary Citations】
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2 CHEN Shun-qing (Department of Mathematics, Daxian Teacher's College, Dazhou 635000, Sichuan);The Existence of Positive Solutions for a Class Singular Initial Value Problems[J];Journal of Sichuan Normal University(Natural Science);2004-02
3 LIAO Wei,PU Zhi-lin(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);The Existence of Nontrivial Weak Solutions of a Class of p-Laplacian Equationt without Compactness[J];Journal of Sichuan Normal University(Natural Science);2006-01
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