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Equivariant maps of joins of finite G-sets and an application to critical point theory

100%

Rozpłoch-Nowakowska D.

Annales Polonici Mathematici

1991-1992

tom 56

nr 2

195-211

A lower estimate is proved for the number of critical orbits and critical values of a G-invariant C¹ function $f:S^n → ℝ$, where G is a finite nontrivial group acting freely and orthogonally on $ℝ^{n+1} \ {0}$. Neither Morse theory nor the minimax method is applied. The proofs are based on a general version of Borsuk's Antipodal Theorem for equivariant maps of joins of G-sets.

On the Schauder fixed point theorem

63%

Górniewicz L., Rozpłoch-Nowakowska D.

Banach Center Publications

1996

tom 35

nr 1

207-219

The paper contains a survey of various results concerning the Schauder Fixed Point Theorem for metric spaces both in single-valued and multi-valued cases. A number of open problems is formulated.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Banach Center Publications

2 Rozpłoch-Nowakowska D.

1 Górniewicz L.

1 1996

1 1992

Wyniki wyszukiwania

Equivariant maps of joins of finite G-sets and an application to critical point theory

On the Schauder fixed point theorem