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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.