Browsing by Author "Galewski, Marek"

Now showing 1 - 4 of 4

Access status: Open Access ,
A note on a fourth order discrete boundary value problem
(2012) Galewski, Marek; Smejda, Joanna
Using variational methods we investigate the existence of solutions and their dependence on parameters for certain fourth order difference equations.
Access status: Open Access ,
On a new critical point theorem and some applications to discrete equations
(2014) Galewski, Marek; Galewska, Elżbieta
Using the Fenchel-Young duality we derive a new critical point theorem. We illustrate our results with solvability for certain discrete BVP. Multiple solutions are also considered.
Access status: Open Access ,
On solvability of elliptic boundary value problems via global invertibility
(Wydawnictwa AGH, 2020) Bełdziński, Michał; Galewski, Marek
In this work we apply global invertibility result in order to examine the solvability of elliptic equations with both Neumann and Dirichlet boundary conditions.
Access status: Open Access ,
On unique solvability of a Dirichlet problem with nonlinearity depending on the derivative
(Wydawnictwa AGH, 2019) Bełdziński, Michał; Galewski, Marek
In this work we consider second order Dirichelet boundary value problem with nonlinearity depending on the derivative. Using a global diffeomorphism theorem we propose a new variational approach leading to the existence and uniqueness result for such problems.