an:00722016
Zbl 0819.58003
Majer, Pietro
Two variational methods on manifolds with boundary
EN
Topology 34, No. 1, 1-12 (1995).
00024431
1995
j
58E05
calculus of variations; infinite-dimensional manifolds; boundary; Ljusternik-Shnirelman theory
The reviewing article deals with a twofold extension of the classical deformation lemma in the calculus of variations to the setting of infinite-dimensional manifolds with boundary. Such extension of the deformation lemmas is motivated by an attempt to overcome difficulties arising when using the classical Lyusternik-Schnirelman theory in the applications. Concerning the prerequisites and the basic results the author refers to the fundamental works of \textit{R. S. Palais} [ibid. 2, 299-340 (1963; Zbl 0122.107) and ibid. 5, 115-132 (1966; Zbl 0143.352)].
B.V.Loginov (Ulyanovsk)
Zbl 0122.107; Zbl 0143.352