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Gradient methods for the construction of Ljusternik-Schnirelmann critical values. (English) Zbl 0431.65045

MSC:
65J15 Numerical solutions to equations with nonlinear operators (do not use 65Hxx)
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
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References:
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[2] 2 S FUCIK, J NECAS and V SOUCEK, Spectral Analysis of Nonlinear Operators In Lecture Notes m Mathematics Springer-Verlag, 1973 Zbl0268.47056 MR467421 · Zbl 0268.47056 · doi:10.1007/BFb0059360
[3] 3 A KRATOCHVIL and J NECASSecant Modulus Method for the Construction of a Solution of Nonlinear Eigenvalue Problems, Bollessmo U M I, Vo l16-B, No 5, 1979, pp 694-710 Zbl0435.47061 MR546485 · Zbl 0435.47061
[4] 4 J NECAS, An Approximate Method for Finding Critical Points of Even Functionals (in Russian), Trudy Matem Inst A N S S S R , Vol 134, 1975, pp 235-239 Zbl0374.47034 MR391169 · Zbl 0374.47034
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[6] 6 J SCHRODER, Storungsrechnung bei Eigenwertaufgaben und Verzweigungsaufgaben, Arch Rat Mech Anal Vol 1, 1957/1958, pp 436-468 Zbl0098.08801 MR101489 · Zbl 0098.08801 · doi:10.1007/BF00298020
[7] 7 M M VAJNBERG, Variational Methods for the Study of Nonlinear Operators, G I T T L , Moscow, 1956, English, transl , Holden-Day, San Francisco, Calif , 1964 Zbl0122.35501 MR176364 · Zbl 0122.35501
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