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Minimax Methods and Their Application to Partial Differential Equations

  • Conference paper
Seminar on Nonlinear Partial Differential Equations

Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 2))

Abstract

This research was sponsored in part by the National Science Foundation under Grant No. MCS-8110556. Reproduction in whole or in part is permitted for any purpose of the United States Government.

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References

  1. Nirenberg, L., Variational and topological methods in nonlinear problems, Bull. A.M.S., 4, (1981), 267–302.

    Article  MathSciNet  MATH  Google Scholar 

  2. Rabinowitz, P. H., Some aspects of critical point theory, to appear Proc. 3rd International Sympos. Diff. Eq. and Diff. Geom., Changchun, China — 1982. (Also appears as University of Wisconsin Math. Research Center Tech. Sum. Rep. No. 2465.)

    Google Scholar 

  3. Rabinowitz, P. H., Variational methods for nonlinear eigenvalue problems, eigenvalues of nonlinear problems (G. Prodi, editor). C.I.M.E., Edizioni Cremonese, Rome, (1974), 141–195.

    Google Scholar 

  4. Berger, M. S., Nonlinearity and functional analysis, Academic Press, New York, 1978.

    Google Scholar 

  5. Palais, R. S., Critical point theory and the minimax principle, Proc. Sym. Pure Math., 15, Amer. Math. Soc., Providence, R.I., (1970), 185–212.

    Google Scholar 

  6. Schwartz, J. T., Nonlinear functional analysis, lecture notes, Courant Inst, of Math. Sc., New York University, 1965.

    Google Scholar 

  7. Krasnoselski, M. A., Topological methods in the theory of nonlinear integral equations, Macmillan, New York, 1964.

    Google Scholar 

  8. Vainberg, M. M., Variational methods for the study of nonlinear operators, Holden-Day, San Francisco, 1964.

    MATH  Google Scholar 

  9. Ljusternik, L. A., and Schnirelmann, L. G., Topological methods in the calculus of variations, Hermann, Paris, 1934.

    Google Scholar 

  10. Ambrosetti, A., and Rabinowitz, P. H., Dual variational methods in critical point theory and applications, J. Functional Analysis, 14, (1973), 349–381.

    Article  MathSciNet  MATH  Google Scholar 

  11. Clark, D. C, A variant of the Ljusternik-Schnirelmann theory, Indiana Univ. Math. J., 22, (1972), 65–74.

    Article  MathSciNet  MATH  Google Scholar 

  12. Benci, V., and Rabinowitz, P. H., Critical point theorems for indefinite functionals, Inv. Math., 52, (1979), 241–273

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin, Madison, Wisconsin, 53706, USA

    Paul H. Rabinowitz

Authors
  1. Paul H. Rabinowitz
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of California, Berkeley, CA, 94720, USA

    S. S. Chern

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© 1984 Springer Science+Business Media New York

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Rabinowitz, P.H. (1984). Minimax Methods and Their Application to Partial Differential Equations. In: Chern, S.S. (eds) Seminar on Nonlinear Partial Differential Equations. Mathematical Sciences Research Institute Publications, vol 2. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1110-5_16

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  • DOI: https://doi.org/10.1007/978-1-4612-1110-5_16

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7013-3

  • Online ISBN: 978-1-4612-1110-5

  • eBook Packages: Springer Book Archive

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