Wacław Marzantowicz

A non-smooth three critical points theorem with applications in differential inclusions

We extend a recent result of Ricceri concerning the existence of three critical points of certain non-smooth functionals. Two applications are given, both in the theory of differential inclusions; the first one concerns a non-homogeneous Neumann boundary value problem, the second one treats a quasilinear elliptic inclusion problem in the whole

Multiplicity of periodic solutions for the planar polynomial equation

{\mathbb R^N}

The Unstable Equivariant Fixed Point Index and the Equivariant Degree

.

POSITIVE ORIENTED PERIODIC SOLUTIONS OF THE FIRST-ORDER COMPLEX ODE WITH POLYNOMIAL NONLINEAR PART

We consider nonlinear elliptic systems with Dirichlet boundary condition on a bounded domain in

Essential Equivariant Maps and Borsuk–Ulam Theorems

\mathbb R^{N}

Wecken property for periodic points on the Klein bottle

which is invariant with respect to the action of some group

A decomposition formula for equivariant stable homotopy classes

G

Equivariant maps between cohomology spheres

of orthogonal transformations. For every subgroup