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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

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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.

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References

  1. Aubin, J.,Applied Functional Analysis, Wiley, New York (1977).

    Google Scholar 

  2. Shi Mau-hsiang and Kok-keong Tan, A further generalization of Ky Fan's minimax inequality and its applications,Studia Math., LXXVII (1984).

  3. Baiocchi, C., and A., Capelo,Variational and Quasi-Variational Inequalities, Wiley, New York/London (1984).

    Google Scholar 

  4. Crank, T.,Free and Moving Boundary Problems, Oxford Univ. Press (1984).

  5. Kikuchi, N. and J. T. Oden, Contact Problems in Elasticity,Soc. Indus. Appl. Math. Philadephia (1987).

  6. Noor, M. Aslam, Finite element analysis of a class of contact,C.R. Math. Rep. Acad. Sci., Canada, 6 (1984), 249–275.

    Google Scholar 

  7. Noor, M. Aslam, Variational inequalities related with a Signorini problem,C.R. Math. Rep. Acad Sci., Canada, 7 (1985), 267–272.

    Google Scholar 

  8. Noor, M. Aslam, On a class of variational inequalities,J. Math. Anal. Appl.,128 (1987), 138–155.

    Google Scholar 

  9. Oden, J. and E. Pires, Contract problems in elastostatics with non-local friction law, TICOM/8 Report 81-12, Univ. of Texas, Austin (1981).

    Google Scholar 

  10. Noor, M. A. and J. R. Whiteman, Error bounds for the element solutions of mildly nonlinear elliptic boundary value problems,Numer. Math.,26 (1976), 107–116.

    Google Scholar 

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Authors and Affiliations

  1. Sichuan University, Chengdu

    Zhang Shi-sheng

  2. Guizhou Normal University, Guiyang

    Xiang Shu-wen

Authors
  1. Zhang Shi-sheng
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  2. Xiang Shu-wen
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Supported by the National Natural Science Foundation of China

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Shi-sheng, Z., Shu-wen, X. On the existence and uniqueness of solutions for a class of variational inequalities with applications to the signorini problem in mechanics. Appl Math Mech 12, 425–431 (1991). https://doi.org/10.1007/BF02019586

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  • DOI: https://doi.org/10.1007/BF02019586

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