Multiplicity of Solutions for Nonlinear Biharmonic Equation Involving Critical Parameter and Critical Exponent 被引量：2

Multiplicity of Solutions for Nonlinear Biharmonic Equation Involving Critical Parameter and Critical Exponent

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摘要 By using variational method, the multiplicity of solutions for nonlinear biharmonic equation involving critical parameter and critical exponent are established.

作者 WANG You-jun SHEN Yao-tian

机构地区 Department of Mathematical Sciences Department of Mathematical Sciences Guangzhou

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第3期317-324,共8页 数学季刊（英文版）

基金 Supported by the NSFC(10771074)

关键词 Hardy potential critical parameter （PS） condition 强壮的潜力；批评参数；(PS ) 调节；

分类号 O175.25 [理学—基础数学]

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参考文献1

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二级参考文献12

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共引文献12

1郭杰,张慧林.一类奇异双调和方程的多解存在性[J].中南民族大学学报（自然科学版）,2007,26(1):99-102. 被引量：2
2胡丽平,周世国.On the Singular Biharmonic Problems Involving Critical Sobolev Exponents[J].Chinese Quarterly Journal of Mathematics,2007,22(3):395-401.
3穆罕麦德,沈尧天,姚仰新.含临界指数的双调和问题非平凡解的存在性(英文)[J].南京师大学报（自然科学版）,2007,30(4):1-5. 被引量：1
4伍芸,姚仰新,柯敏.含Hardy位势的双调和方程特征值问题[J].山东大学学报（理学版）,2008,43(9):81-84. 被引量：5
5伍芸,何少通,彭滔.multi-bump域中的一类椭圆问题的多解(英文)[J].贵州师范大学学报（自然科学版）,2009,27(1):52-57.
6王友军,沈尧天.一类含临界指数双调和方程变号解的存在性[J].应用数学,2009,22(2):233-238. 被引量：4
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9胡爱莲.具有Sobolev临界指数的双调和方程解的存在性[J].吉林师范大学学报（自然科学版）,2011,32(1):21-25.
10杜刚,魏静.一类奇异双调和方程变号解的存在性[J].数学的实践与认识,2011,41(23):172-177. 被引量：3

同被引文献4

1王友军,沈尧天.一类含临界指数双调和方程变号解的存在性[J].应用数学,2009,22(2):233-238. 被引量：4
2伍芸,何少通,沈尧天.一类渐近线性双调和方程非平凡解的存在性[J].数学学报（中文版）,2011,54(1):9-14. 被引量：8
3杜刚,魏静.一类奇异双调和方程变号解的存在性[J].数学的实践与认识,2011,41(23):172-177. 被引量：3
4刘春晗,王建国.一类渐近线性椭圆方程非平凡解的存在性[J].郑州大学学报（理学版）,2014,46(1):5-9. 被引量：2

引证文献2

1刘春晗.一类含临界指数双调和方程非平凡解的存在性[J].郑州大学学报（理学版）,2016,48(4):27-29.
2刘春晗.含临界参数和临界指数的双调和方程多重解[J].东北师大学报（自然科学版）,2017,49(3):8-12.

1Xiao-ming He,Wen-ming Zou.Multiplicity of Solutions for a Class of Kirchhoff Type Problems[J].Acta Mathematicae Applicatae Sinica,2010,26(3):387-394. 被引量：10
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10A.S.BERDYSHEV,A.CABADA,B.Kh.TURMETOV.ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR A NONHOMOGENEOUS BIHARMONIC EQUATION WITH A BOUNDARY OPERATOR OF A FRACTIONAL ORDER[J].Acta Mathematica Scientia,2014,34(6):1695-1706. 被引量：2

Chinese Quarterly Journal of Mathematics

2011年第3期

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