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Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (10): 993-998.

• 论文 • 上一篇    下一篇

A BIFURCATION THEOREM OF NONGRADIENT, WEAKLY CONTINUOUS MAPS AND APPLICATIONS

马天, 余庆余   

  1. Department of Mathematics, Lanzhou University, Lanzhou
  • 收稿日期:1987-11-19 出版日期:1988-10-18 发布日期:1988-10-18
  • 基金资助:

    Projects Supported by the Science Fund of the Chinese Academy of Sciences

A BIFURCATION THEOREM OF NONGRADIENT, WEAKLY CONTINUOUS MAPS AND APPLICATIONS

Ma Tian, Yu Qing-yu   

  1. Department of Mathematics, Lanzhou University, Lanzhou
  • Received:1987-11-19 Online:1988-10-18 Published:1988-10-18
  • Supported by:

    Projects Supported by the Science Fund of the Chinese Academy of Sciences

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摘要： In this paper, M. A. Krasnosels’kii’s local bifurcation theorem for compactly continuous mappings is extended to weakly continuous mappings. So we can surmount the difficulty of lacking compactness in application. Lastly, we apply it to Dilichlet problem of quasilinear elliptic equation.

Abstract: In this paper, M. A. Krasnosels’kii’s local bifurcation theorem for compactly continuous mappings is extended to weakly continuous mappings. So we can surmount the difficulty of lacking compactness in application. Lastly, we apply it to Dilichlet problem of quasilinear elliptic equation.

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