EXISTENCE　OF　NONTRIVIAL　SOLUTIONS　FOR　CRITICAL　SEMILINEAR　BIHARMONIC　EQUATIONS 被引量：1

EXISTENCE OF NONTRIVIAL SOLUTIONS FOR CRITICAL SEMILINEAR BIHARMONIC EQUATIONS

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摘要ＥＸＩＳＴＥＮＣＥＯＦＮＯＮＴＲＩＶＩＡＬＳＯＬＵＴＩＯＮＳＦＯＲＣＲＩＴＩＣＡＬＳＥＭＩＬＩＮＥＡＲＢＩＨＡＲＭＯＮＩＣＥＱＵＡＴＩＯＮＳ￥ＧＵＹｏｎｇｇｅｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅ... In this paper we will study the existence and nonexistence of nontrivial solutions to the problemwhere p = (N > 4) is the critical sobolev exponent. This result is a extension of [1].

作者 GU Yonggeng(Institute of Systems Science, Academia Sinica, Beijing 100080, China)DENG Yinbin(Department of Mathematics, Huazhong Normal University ,Wuhan 430070, China)WANG Xujia(Department of Mathematics, Zhejiang University, Hangzhou 310027, China)

出处《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1994年第2期140-152,共13页

关键词 Nontrivial solution BIHARMONIC EQUATIONS CRITICAL SOBOLEV exponent. Nontrivial solution, biharmonic equations, critical Sobolev exponent.

分类号 O175.25 [理学—基础数学]

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1DENG Yinbin(Department of Mathematics,Huazhong Normal University,Wuhan 430070,China)YANG Jianfu(Department of Mathematics,Nanchang University,Nanchang 330047,China).EXISTENCE　OF　MULTIPLE　SOLUTIONS　AND　BIFURCATIONFOR　CRITICAL　SEMILINEAR　BIHARMONIC　EQUATIONS[J].Systems Science and Mathematical Sciences,1995,8(4):319-326. 被引量：4
2彭永东,邓引斌.临界半线性双调和方程非平凡解的存在性[J].数学物理学报（A辑）,1997,17(4):452-465. 被引量：10
3郭真华,邓引斌.△~2u=λu+u^((N+4)/(N-4))+μf(x)的多解存在性[J].数学物理学报（A辑）,1999,19(2):138-148. 被引量：6
4曾宪忠,邓引斌.临界非齐次双调和方程的多解存在性[J].数学物理学报（A辑）,2000,20(4):547-554. 被引量：3
5曾宪忠,黄力民.R^N上的临界非齐次多重调和方程的多解存在性[J].高校应用数学学报（A辑）,2001,16(4):414-420. 被引量：2

引证文献1

1曾宪忠,周俊.一类临界半线性双调和方程的多解存在性[J].湘潭矿业学院学报,2003,18(2):72-75.

1郑神州,郑学良.BIANALYTIC FUNCTIONS, BIHARMONIC FUNCTIONS AND ELASTIC PROBLEMS IN THE PLANE[J].Applied Mathematics and Mechanics(English Edition),2000,21(8):885-892. 被引量：1
2Jian Cheng LIU,Li DU.Biharmonic Submanifolds in δ-Pinched Riemannian Manifolds[J].Journal of Mathematical Research and Exposition,2010,30(5):891-896. 被引量：3
3Ban, HD,Tang, WJ.THE BOUNDARY INTEGRO-DIFFERENTIAL EQUATIONS OF A BIHARMONIC BOUNDARY VALUE PROBLEM[J].Journal of Computational Mathematics,1999,17(1):59-72.
4Xian Feng WANG,Lan WU.Proper Biharmonic Submanifolds in a Sphere[J].Acta Mathematica Sinica,English Series,2012,28(1):205-218. 被引量：1
5DENG Yinbin(Department of Mathematics,Huazhong Normal University,Wuhan 430070,China)YANG Jianfu(Department of Mathematics,Nanchang University,Nanchang 330047,China).EXISTENCE　OF　MULTIPLE　SOLUTIONS　AND　BIFURCATIONFOR　CRITICAL　SEMILINEAR　BIHARMONIC　EQUATIONS[J].Systems Science and Mathematical Sciences,1995,8(4):319-326. 被引量：4
6俞中直.GENERALIZED　BIHARMONIC　OPERATOR　AND　ITS　APPLICATION　TO　THE　BENDING　OF　ELASTIC　THIN　PLATES[J].Applied Mathematics and Mechanics(English Edition),1994,15(2):167-174.
7On a Kind of Biharmonic Boundary Value Problems Related to Clamped Elastic Thin Plates[J].Wuhan University Journal of Natural Sciences,1999,4(3):251-255.
8王江湖,张贻民.A BIHARMONIC EIGENVALUE PROBLEM AND ITS APPLICATION[J].Acta Mathematica Scientia,2012,32(3):1213-1225.
9Guo Jin-yong,Gao Wen-jie.Existence and Uniqueness of Weak Solutions to the p-biharmonic Parabolic Equation[J].Communications in Mathematical Research,2013,29(3):261-270.
10N.AKHTAR,G.A.H.CHOWDHURY,S.K.SEN.Stokes flow before plane boundary with mixed stick-slip boundary conditions[J].Applied Mathematics and Mechanics(English Edition),2011,32(6):795-804.

Systems Science and Mathematical Sciences

1994年第2期

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EXISTENCE　OF　NONTRIVIAL　SOLUTIONS　FOR　CRITICAL　SEMILINEAR　BIHARMONIC　EQUATIONS 被引量：1

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EXISTENCE　OF　NONTRIVIAL　SOLUTIONS　FOR　CRITICAL　SEMILINEAR　BIHARMONIC　EQUATIONS 被引量：1