Ljusternik-Schnirelmann theory on <span class="mathjax-formula">$C^1$</span>-manifolds

The mapping u λ fulfills all the desired properties, except possibly we do not obtain the exact volume proportions required in (c) and (d).. This defines our final mapping u.

If a Fuchsian differential equation with only rational exponents at the origin satisfies Galochkin’s condition, then the entries of the normalized uniform.. part of

0. Tlze class of .finite dimensional vector spaces. In the course of this research we will have to disregard finite dimensional vector spaces to ena- ble us to

This allows us to translate from DIFF-category into PL-category the following theorem related to the extension of boundary dif- feomorphisms of a 4-dimensional

A minimal Picard- Vessiot ring for a differential equation exists (after a finite separable, extension.. of the base field) and its group scheme of differential

Toute utilisa- tion commerciale ou impression systématique est constitutive d’une in- fraction pénale.. Toute copie ou impression de ce fichier doit conte- nir la présente mention

This follows from Lemma 2.3 since both sides have the same image under Â’ by Definition 2.4 and the first property of Â’.. 0 Using the formalism of formal Dirichlet

— In this paper gradient methods are proposed for the search for the Ljusternik- Schnirelmann critical values and the corresponding critical vectors ofafunctional g even with respect