Generalized Jacobian elliptic functions and their application to bifurcation problems associated with p-Laplacian

研究成果: Article査読

56 被引用数 (Scopus)

抄録

The Jacobian elliptic functions are generalized and applied to bifurcation problems associated with p-Laplacian. The values of bifurcation parameter and the corresponding solutions are represented in terms of common parameters, and a complete description of the bifurcation diagram and a closed form representation of the corresponding solutions are obtained. As a by-product of the representation, it turns out that a kind of solution is also a solution of an eigenvalue problem of p/2-Laplacian.

本文言語English
ページ(範囲)24-35
ページ数12
ジャーナルJournal of Mathematical Analysis and Applications
385
1
DOI
出版ステータスPublished - 2012 1月 1

ASJC Scopus subject areas

  • 分析
  • 応用数学

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