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math.CA2015
A critical point theorem on a closed ball and some applications to boundary value problems
Marek Galewski
We consider a functional being a difference of two differentiable convex functionals on a closed ball. Existence and multiplicity of critical points is investigated. Some applicati…
math.CA2015
A note on a global invertibility of mappings on
Marek Galewski
We provide sufficient conditions for a mapping to be a global diffeomorphism in case it is strictly (Hadamard) differentiable. We use classical local inv…
math.CA2015
Non-spurious solutions to discrete boundary value problems through variational methods
Marek Galewski, Ewa Schmeidel
Using direct variational method we consider the existence of non-spurious solutions to the following Dirichlet problem $\ddot{x}\left( t\right) =f\left( t,x\left( t\right) \right)…