Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (5): 425-431.

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ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A CLASS OF VARIATIONAL INEQUALITIES WITH APPLICATIONS TO THE SIGNORINI PROBLEM IN MECHANICS

Zhang Shi-sheng1, Xiang Shu-wen2   

  1. 1. Sichuan University, Chengdu;
    2. Guizhou Normal University, Guiyang
  • Received:1990-02-24 Online:1991-05-18 Published:1991-05-18
  • Supported by:
    Supported by the National Natural Science Foundation of China

Abstract: In this paper, we introduce a new unified and general class of variational inequalities, and show some existence and uniqueness results of solutions for this kind of variational inequalities. As an application, we utilize the results presented in this paper to study the Signorini problem in mechanics.

Key words: variational inequality, KKM mappings, Signorini problem

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