张旭平

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副教授

硕士生导师

性别:男

毕业院校:大连理工大学

学位:博士

所在单位:数学科学学院

学科:计算数学

办公地点:创新园大厦A1025

联系方式:0411-84708351-8025

电子邮箱:zhangxp@dlut.edu.cn

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Proof of a conjecture on a discretized elliptic equation with cubic nonlinearity

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论文类型:期刊论文

第一作者:Xuping Zhang

通讯作者:Bo Yu (reprint author), Dalian Univ Technol, Sch Math Sci, Dalian 116025, Peoples R China.

合写作者:Bo Yu,JinTao Zhang

发表时间:2013-06-01

发表刊物:SCIENCE CHINA-MATHEMATICS

收录刊物:SCIE

卷号:56

期号:6

页面范围:1279-1286

ISSN号:1674-7283

关键字:elliptic equation; cubic nonlinearity; multiplicity of eigenvalue

摘要:We sharpen and prove a conjecture suggested by Chen and Xie, which states that in Galerkineigenfunction discretization for -Delta u = u (3), when the finite-dimensional subspace is taken as the eigensubspace corresponding to an N-fold eigenvalue of -Delta, the discretized problem has at least 3 (N) - 1 distinct nonzero solutions. We also present a related result on the multiplicities of eigenvalues of -Delta.