Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (3): 451-458.

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A Mini Max Theorem for the Functionals with Hemicontinuous Gateaux Derivative and the Solution of the Boundary Value Problem for the Nonlinear Wave Equation 

  


  1. 1. College of Sciences Southern Yangtze University  2. Zengcheng College South China Normal University 

  • Received:2005-10-09 Online:2007-09-30 Published:2023-10-30
  • About author: HUANG Wen-hua(1947- ), male, native of Changshu, Jiangsu, a professor of Southern Yangtze University, engages in nonlinear boundary value problem.
  • Supported by:
    Supported by the Natural Science Foundation of Southern Yangtze University China(0371)

Abstract: In this paper,a mini max theorem was showed mega which the paper proves a new existent and unique result on solution of the boundary value problem for the nonlinear wave equation by using the mini max theorem.

Key words:  Hilbert space; mini max theorem, existence and uniqueness solution, boundary value problem, nonlinear wave equation