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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
Nirenberg, L., Variational and topological methods in nonlinear problems, Bull. A.M.S., 4, (1981), 267–302.
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.)
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.
Berger, M. S., Nonlinearity and functional analysis, Academic Press, New York, 1978.
Palais, R. S., Critical point theory and the minimax principle, Proc. Sym. Pure Math., 15, Amer. Math. Soc., Providence, R.I., (1970), 185–212.
Schwartz, J. T., Nonlinear functional analysis, lecture notes, Courant Inst, of Math. Sc., New York University, 1965.
Krasnoselski, M. A., Topological methods in the theory of nonlinear integral equations, Macmillan, New York, 1964.
Vainberg, M. M., Variational methods for the study of nonlinear operators, Holden-Day, San Francisco, 1964.
Ljusternik, L. A., and Schnirelmann, L. G., Topological methods in the calculus of variations, Hermann, Paris, 1934.
Ambrosetti, A., and Rabinowitz, P. H., Dual variational methods in critical point theory and applications, J. Functional Analysis, 14, (1973), 349–381.
Clark, D. C, A variant of the Ljusternik-Schnirelmann theory, Indiana Univ. Math. J., 22, (1972), 65–74.
Benci, V., and Rabinowitz, P. H., Critical point theorems for indefinite functionals, Inv. Math., 52, (1979), 241–273
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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
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