Skip to main content

Advertisement

SpringerLink
Log in

Nash point equilibra for variational integralsl-existence results

  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Acerbi, E., Fusco, N., Semicontinuity problems in the calculus of of variations,Arch. Rational. Mech. Anal.,86 (1984), 125–145.

    Article  MATH  MathSciNet  Google Scholar 

  2. Brezis, H., Operateurs maximaux monotones et semi-groupes de contractions dan les espaces de Hillbert. Notas de Mat. 50, American Elsevier, Amsterdam, North Holland, 1973.

    Google Scholar 

  3. Benssousan, A. and Frehse, J., Nash point equilibria for variational integrals, Lecture Notes in Math. 1107; 28–62 Springer-Verlag, 1983.

  4. Dacorogna, B.,*Weak continuity and weak lower semicontinuity of non-linear functionals, Lecture Notes in Math. 922, Springer-Verlag, 1982.

  5. Eisen, G., A selection lemma for sequences of measurable sets, and lower semicontinuity of multiple integrals,Manuscripta Math.,27 (1979), 73–79.

    Article  MATH  MathSciNet  Google Scholar 

  6. Ekeland, I.,*Theorie des jeux, P. U. F. Paris, 1974.

  7. Ekeland, I. and Teman, P.,*Convex analysis and variational problems, Holland, Amsterdam, 1976.

  8. Gehring, F. W., TheL p-integrability of the partial derivatives of a quasi conformal mapping,Acta Math.,130(1973), 265–277.

    Article  MATH  MathSciNet  Google Scholar 

  9. Giaquinta, M.,*Multiple integrals in the calculus of variations and nonlinear elliptic systems. Vorlesungsreihe SFB 72, no. 6, Universitat Bonn, 1981.

  10. Giaquinta, M. and Gusti, E., On the regularity of the minima of variational integrals, Vorlesungsreihe SFB 72, no. 429, Bonn, 1981.

  11. Giaquinta, M. and Giusti, E.,Q-minima. Annals de l'Institut H. Poincare: Analyse Nonlineaire,1(1984).

  12. Giaquinta, M. and Modica, G., Regularity results for some classes of higher order nonlinear elliptic systems,J. fur Reine u. Angew. Math.,311/312(1979), 145–169.

    MathSciNet  Google Scholar 

  13. Liu, F.-C., A Luzin type property of Sobolev functions,Indiana Univ. Math. J.,26(1977), 645–651.

    Article  MATH  MathSciNet  Google Scholar 

  14. Meyers, N.G. and Elorat, A., Some results on regularity for solutions of nonlinear elliptic systems and quasiregular functions.Duke Math. I,42 (1975), 121–136.

    Article  MATH  Google Scholar 

  15. Morrey Jr., C. B.,*Multiple integrals in the calculus of variations, Springer, Berlin, Heideberg, New York, 1966.

    MATH  Google Scholar 

  16. Necas, J.*Introduction of the theory of nonlinear elliptic equations. Teubner-Texte zur Math. Band 52, (1983), Leipzig, BSB. B. G., Teubner Verlagsgesellschaft.

    MATH  Google Scholar 

  17. Stein, E. M.,*Singular integrals and differentiability properties of functions. Princeton Univ. Press, Princeton, 1970.

    MATH  Google Scholar 

  18. Zhang K.-W., On the Dirichlet problem for a class of quasilinear elliptic system of partial differential equations in divergence form, to appear in Proceedings of DD7 Symposium, Nankai University.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Peking University, Beijing, China

    Zhang Kewei

Authors
  1. Zhang Kewei
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kewei, Z. Nash point equilibra for variational integralsl-existence results. Acta Mathematica Sinica 4, 155–176 (1988). https://doi.org/10.1007/BF02560596

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02560596

Keywords

Search

Navigation