On Differentiable Functionals

On Differentiable Functionals

Notes on Differentiable Manifolds

Multiple critical points for non-differentiable parametrized functionals and applications to differential inclusions

In this paper we deal with a class of non-differentiable functionals defined on a real reflexive Banach space X and depending on a real parameter of the form Eλ(u) = L(u)− (J1 ◦T )(u)−λ(J2 ◦ S)(u), where L : X → R is a sequentially weakly lower semicontinuous C functional, J1 : Y → R, J2 : Z → R (Y, Z Banach spaces) are two locally Lipschitz functionals, T : X → Y , S : X → Z are linear and com...

Non-differentiable functionals and singular sets of minima Fonctionnelles non-différentiable et l’ensembles singulier des minima

We provide bounds for the Hausdorff dimension of the singular set of minima of functionals of the type ∫ Ω F (x, v, Dv), where F is only Hölder continuous with respect to the variables (x, v).

Differentiable Actions on 2 « - Spheres

Introduction. It is shown in [4] that there is an infinite family of semifree Zm actions on odd dimensional homotopy spheres. There is also an infinite family of semifree S actions on odd dimensional homotopy spheres (see [2], [5]). On the other hand, it is announced in [2] that there are only finitely many inequivalent semifree S actions on even dimensional homotopy spheres. Hence it is intere...