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

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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

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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