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《Journal of Southwest University(Natural Science Edition)》 2009-01
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Multiplicity Results for a Class of Quasilinear Neumann Eigenvalue Problems

LI Xiang-feng1,2,XU Wan-yin11. Department of Mathematics,Longdong University,Qingyang Gansu 745000,China;2. College of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China  
By using variational method and B.Ricceri's a three critical points theorem,sufficient condition that guarantees the existence of at least three weak solutions for a class of quasilinear nonautonomous Neumann problems:-(|u'(t)|p-2u'(t))'+|u|p-2u=λf(t,u(t)),0t1; u'(0)=u'(1)=0 is established. The results of the recent literatures are generalized and complemented.
【Fund】: 甘肃省高校研究生导师科研基金资助项目(G0810-03)
【CateGory Index】: O175.8
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【References】
Chinese Journal Full-text Database 1 Hits
1 MA Jue1,ZHOU Yi-hui2 1.Department of Mathematics,Yulin University,Yulin Shaanxi 719000,China;2.School of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,China;Fuzzy Ideals in Quantale[J];Journal of Southwest China Normal University(Natural Science Edition);2011-03
【Citations】
Chinese Journal Full-text Database 4 Hits
1 LI Xiang-feng(Department of Mathematics,Longdong University,Qingyang 745000,Gansu Province,China);Multiplicity of Solutions for Quasilinear Eigenvalue Dirichlet Problems with p-Laplacian[J];Journal of Jilin University(Science Edition);2008-04
2 Xiong Ming (Department of Mathematics,Dali University,Yunnan 671000) Liu Jiaquan Zeng Pingan (School of Mathematical Science,Peking University,Beijing 100871);Positive Solutions for Singular Two-point Boundary Value Problem for p-Laplacian Equation[J];Acta Mathematica Scientia;2007-03
3 XIONG MingDept.of Mathematics,Dali University,Dali Yunnan 671000,China;Positive Solutions for a Class of Singular Boundary Problems of Second Order[J];Journal of Southwest University(Natural Science Edition);2007-08
4 LUO Wan-cheng,HUANG Hua,ZHOU Dao-qingDept.of Mathematics and Computer Science,Chongqing University of Arts and Sciences,Yongchuan Chongqing 402168,China;Positive Periodic Solution of Nonlinear Second Order Ordinary Differential Equations[J];Journal of Southwest University(Natural Science Edition);2007-10
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 YAN Huiwen,GENG Di,YANG Zhou(School of Mathematics,South China Normal University,Guangzhou 510631,China);THREE SOLUTIONS FOR A p-LAPLACE PROBLEM[J];Journal of South China Normal University(Natural Science Edition);2010-01
2 DENG Cui-rong(Department of Mathematics,Huaihua University,Huaihua,Hunan 418008);The Existence and Multiplicity of Periodic Solutions for the Nonlinear Singular Differential Equation[J];Journal of Huaihua University;2009-11
3 ZHANG Guo-qing, WU Bao-feng (College of Sciences, University of Shanghai for Science and Technology, Shanghai 200093, China);Existence of Multiple Solutions for a Class of Quasilinear Elliptic Systems[J];Journal of Jilin University(Science Edition);2007-03
4 LI Xiang-feng(Department of Mathematics,Longdong University,Qingyang 745000,Gansu Province,China);Multiplicity of Solutions for Quasilinear Eigenvalue Dirichlet Problems with p-Laplacian[J];Journal of Jilin University(Science Edition);2008-04
5 LI Xiang-feng,XU Sheng-hu ,JU Peng-yue(Department of Mathematics,Longdong university,Qingyang 745000,Gansu,China);An Eigenvalue Dirichlet Problem Involving the p-Laplacian[J];Journal of Longdong University;2009-05
6 YANG Wen-shu(Department of Mathematics,Jiaying College,Meizhou,Guangdong,514015,China);Multiple raoial symmetric positive solutions of elliptic boundary value problems with m-Laplacian[J];Journal of Guizhou Normal University(Natural Sciences);2008-04
7 CHEN Xin-yi(China Ethnic Information Technology Institute,Northwest University for Nationalities,Lanzhou,Gansu 730030,China);Sufficient theorem about periodic solution for a class of high order nonlinear equations[J];Journal of Guizhou Normal University(Natural Sciences);2009-01
8 YANG Wen-Shu(Department of Mathematics.Jiaying College,Meizhou,Guangdong 514015,China);Positive solutions to a class of second order nonlinear dynamic equations on time scales[J];Journal of Guizhou Normal University(Natural Sciences);2009-03
9 CHEN Xin-yi(China Minorities Information Technology Institute,Northwest University for Nationalities,Lanzhou,Gansu 730030,China);Existence about periodic solution to a class of higher order nonlinear equations with delay[J];Journal of Guizhou Normal University(Natural Sciences);2009-04
10 CHEN Xin-yi(China Minority Information Technology Institute,Northwest University for Nationalities,Lanzhou,Gansu 730030,China);The existence theorem of periodic solution for the functional differential equation with a deviating argument[J];Journal of Guizhou Normal University(Natural Sciences);2010-02
【Co-references】
Chinese Journal Full-text Database 2 Hits
1 ZHAO Wen-qiangSchool of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,Chin;An Adjoint Integrated Semigroup and Its Properties[J];Journal of Southwest University(Natural Science Edition);2009-06
2 LI Xiao-na1, LI Hong-fei1, CUI Yan-lan21.Department of Mathematics,Yulin Normal College,Yulin Shaanxi 719000,China;2.College of Mathematics and Computer Science,Yan'an University,Yan'an Shaanxi 716000,China;The Existence and Uniqueness of Solution Theory for a Kind of Monotone Systems of Two Binary Operator Equations[J];Journal of Southwest China Normal University(Natural Science Edition);2010-03
【Secondary Citations】
Chinese Journal Full-text Database 7 Hits
1 LIAO Xinyuan(Department of Mathematics,Nanhua University, Hengyang,Hunan421001,China);Existence of positive periodic solutions for generaldelayed nonautonomous differential equation[J];Pure and Applied Mathematics;2003-03
2 Zhang Xinguang 1 Sun Yongping 2 Wang Xiuqin 3 (1. Department of Mathematics, Qufu Normal University, Qufu Shandong 273165; 2. Department of Fundamental Courses, Hangzhou Radio and Television University, Hangzhou Zhejiang 310012; 3. Yishui Architectural Committee, Yishui Shandong 276400);Existence Result for Semipositone Second-Order Three-Point Boundary Value Problem[J];Journal of Mathematical Study;2004-02
3 Xiong Ming (Department of Mathematics,Dali University,Yunnan 671000) Liu Jiaquan Zeng Pingan (School of Mathematical Science,Peking University,Beijing 100871);Positive Solutions for Singular Two-point Boundary Value Problem for p-Laplacian Equation[J];Acta Mathematica Scientia;2007-03
4 Ming XIONG Shao Rang WANG Department of Mathematics, Dali University, Dali 671000, P. R. China;The Existence of Positive Solution for the One-Dimensional p-Laplacian[J];Acta Mathematica Sinica;2006-01
5 Zhan Bing BAI College of Information Science and Technology, Shandong University of Science and Technology, Qingdao 266510, P. R. China Wei Gao GE Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China;Existence of Three Positive Solutions for the One-Dunensional p-Laplacian[J];Acta Mathematica Sinica;2006-05
6 YAO Qing-liu, JANG Xiu-fen (1 Dept. of Applied Math., Nanjing Economic University, Nanjing 210003,China) (2 Library of Nanjing Economic University,Nanjing 210003,China);AN EXISTENCE THEOREM OF POSITIVE SOLUTION FOR NONLINEAR FOURTH-ORDER TWO-POINT BOUNDARY VALUE PROBLEM[J];Journal of Mathematics;2004-01
7 YAO Qing_liu (Department of Applied Mathematics, Nanjing University of Finance and Economics,Nanjing 210003, China);On the Existence of Positive Solutions for a Class of Second-Order Two-Point Boundary Value Problems[J];Acta Scientiarum Naturalium Universitatis Sunyatseni;2003-04
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