Teoria di Lusternik-Schnirelman su varietà con bordo negli spazi di Hilbert

 Access to full text

 Full (PDF)

1. [1] Browder, F.E.: Infinite dimensional manifolds and non linear elliptic eigenvalue problems, Ann. Math., 82 (1965), 459-477. Zbl0136.12002MR203249
2. [2] Morse, M. - VAN SCHAACK, G. B.: The critical point theory under general boundary conditions, Ann. Math., 35 (1934), 545-571. Zbl0010.02801MR1503179JFM60.0533.01
3. [3] Palais, R.S.: Lusternik-Schnirelmann theory on Banach manifolds, Topology, 5 (1966), 115-132. Zbl0143.35203MR259955
4. [4] Palais, R.S.: Homotopy theory of infinite dimensional manifolds, Topology, 5 (1966), 1-16. Zbl0138.18302MR189028
5. [5] Palais, R.S.: Morse theory on Hilbert monifolds, Topology, 2 (1963), 299-340. Zbl0122.10702MR158410
6. [6] Palais, R.S. - SMALE, S.: A generalized Morse theory, Bull. Amer. Math. Soc., 70 (1964), 165-171. Zbl0119.09201MR158411
7. [7] Rothe, E.H.: Critical point theory in Hilbert space under general boundary conditions, Jour. Math. Anal. Appl., 11 (1965), 357-409. Zbl0132.07902MR190951
8. [8] Schwartz, J.T.: Generalizing the Lusternik-Schnirelman theory of critical points, Comm. Pure Appl. Math., 17 (1964), 307-315. Zbl0152.40801MR166796
9. [9] Schwartz, J.T.: Non linear functional analysis, Gordon an Breach Science Publishers. Zbl0203.14501

1. Christian Malivert, Méthode de descente sur un fermé non convexe
2. Antonio Ambrosetti, On the existence of multiple solutions for a class of nonlinear boundary value problems