“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 446 |
|
| Abstract: | |
|
In this paper we use a noncompact version of Conley index theory
to obtain a Ljusternik-Schnirelmann type result in critical point
theory: Let X be a complete Finsler manifold, f ∈ C1(X,\BbbR) which satisfies Palais-Smale condition and
φt be the flow relative to a pseudo-gradient vector field
for f. If I ⊂ X is a (c)-invariant set with f(I)
bounded, then f has at least νH(h(I))−1 critical points in
I where νH is the (homotopy) Ljusternik-Schnirelmann
category and h(I) is the Conley index of I.
Download TeX format |
|
| back to top | |
