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Ambrosetti, 1973, Dual Variational Methods in Critical Point Theory and Applications, J. Funct. Anal., Vol. 14, 349, 10.1016/0022-1236(73)90051-7
Aubin, 1984
Hofer, 1985, A Geometric Description of the Neighbourhood of a Critical Point Given by the Mountain Pass Theorem, J. London Math. Soc., 31, 566, 10.1112/jlms/s2-31.3.566
H. Hofer, A Strong Form of the Mountain Pass Theorem and Applications, Proceedings of a microprogram on Reaction diffusion Equations, Berkeley, 1986 (to appear).
Nirenberg, 1981, Variational and Topological Methods in Non-Linear Problems, Bull. Amer. Math. Soc., 4, 267, 10.1090/S0273-0979-1981-14888-6
Pucci, 1987, The Structure of the Critical Set in the Mountain Pass Theorem, Trans. A.M.S., Vol. 91, 115, 10.1090/S0002-9947-1987-0869402-1
Pucci, 1984, Extensions of the Mountain Pass Theorem, J. Funct. Analysis, Vol. 59, 185, 10.1016/0022-1236(84)90072-7
P. H. Rabinowitz, Minimax Methods in Critical Point Theory with Applications to Differential Equations, C.B.M.S., A.M.S., No. 65, 1986.
Guijie, 1987, Extension of Moutain Pass Lemma, Kexue Tongbao, Vol. 32
N. Ghoussoub, Location, Multiplicity and Morse Indices of Min-Max Critical Points (to appear), 1989.
Kuratowski, 1968, Vol. II