Dual variational methods in critical point theory and applications
Tài liệu tham khảo
Ljusternik, 1934, Methodes topologiques dans les problèmes variationels, Actualites Sci. Ind 188
Krasnoselski, 1964
Schwartz, 1964, Generalizing the Lusternik-Schnirelman theory of critical points, Commun. Pure Appl. Math., 17, 307, 10.1002/cpa.3160170304
Palais, 1966, Lusternik-Schnirelman theory on Banach manifolds, Topology, 5, 115, 10.1016/0040-9383(66)90013-9
Browder, 1965, Infinite dimensional manifolds and nonlinear eigenvalue problems, Ann. of Math., 82, 459, 10.2307/1970708
Amann, 1972, Lusternik-Schnirelman theory and nonlinear eigenvalue problems, Math. Ann., 199, 55, 10.1007/BF01419576
Clark, 1972, A variant of the Lusternik-Schnirelman theory, Indiana Univ. Math. J., 22, 65, 10.1512/iumj.1973.22.22008
Coffman, 1969, A minimum-maximum principle for a class of nonlinear integral equations, J. Analyse Math., 22, 391, 10.1007/BF02786802
Coffman, 1970, On a class of nonlinear elliptic boundary value problems, J. Math. Mech., 19, 351
Hempel, 1970, Superlinear variational boundary value problems and nonuniqueness
Hempel, 1971, Multiple solutions for a class of nonlinear boundary value problems, Indiana Univ. Math. J., 20, 983, 10.1512/iumj.1971.20.20094
Ambrosetti, 1972, Esistenza di infinite soluzioni per problemi non lineari in assenza di parametro, Atti Accad. Naz. Lincei Mem. Cl. Sci. Fiz. Mat. Natur. Ser. I, 52, 660
A. Ambrosetti, On the existence of multiple solutions for a class of nonlinear boundary value problems, Rend. Sem. Mat. Univ. Padova, to appear.
P. H. Rabinowitz, On pairs of positive solutions for nonlinear elliptic equations, Indiana Univ. Math. J., to appear.
P. H. Rabinowitz, Variational methods for nonlinear elliptic eigenvalue problems, to appear, Indiana Univ. Math. J.
Nehari, 1959, On a class of nonlinear integral equations, Math. Z., 72, 175, 10.1007/BF01162946
P. H. Rabinowitz, Some aspects of nonlinear eigenvalue problems, Rocky Mountain Math. J., to appear.
Palais, 1964, A generalized Morse theory, Bull. Amer. Math. Soc., 70, 165, 10.1090/S0002-9904-1964-11062-4
Rabinowitz, 1970, Nonlinear Sturm-Liouville problems for second order ordinary differential equations, Commun. Pure Appl. Math., 23, 939, 10.1002/cpa.3160230606
R. E. L. Turner, Superlinear Sturm-Liouville problems, to appear, J. Diff. Eq.
Agmon, 1959, The Lp approach to the Dirichlet problem, Ann. Scuolu. Norm. Sup. Pisa, 13, 405
Berger, 1966, A Sturm-Liouville theorem for nonlinear elliptic partial differential equations, Ann. Scuola. Norm. Sup. Pisa, 20, 543
Berger, 1968, Corrections, 22, 351
Pohozaev, 1970, On the eigenfunctions of quasilinear elliptic problems, Math. USSR-Sb., 11, 171, 10.1070/SM1970v011n02ABEH001133
Amann, 1972, Existence theorems for equations of Hammerstein type, Appl. Anal., 1, 385, 10.1080/00036817208839052