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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：吉林大学
学位：博士
所在单位：数学科学学院
学科：计算数学. 金融数学与保险精算
电子邮箱：yubo@dlut.edu.cn
扫描关注
Proof of a conjecture on a discretized elliptic equation with cubic nonlinearity
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论文类型：期刊论文
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.