论文成果
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
- 文献类型：J
- 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.
