个人信息Personal Information
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
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.