4 citations · 10 across the 19 of their papers we have counts for
25 papers
On a version of hybrid existence result for a system of nonlinear equations
Michał Bełdziński, Marek Galewski, Igor Kossowski
Combining monotonicity theory related to the parametric version of the Browder-Minty Theorem with fixed point arguments we obtain hybrid existence results for a system of two opera…
On competing (p,q) -Laplacian Drichlet problem with unbounded weight
Josef Diblik, Marek Galewski, Igor Kossowski +1
We investigate the existence of generalized solutions to coercive competing system driven by the (p,q) -Laplacian with unbounded perturbation corresponding to the leading term in t…
Global invertibility of mappings between Banach spaces and applications to nonlinear equations
Marek Galewski, Dušan Repovš
We provide sufficient conditions for a mapping between two Banach spaces to be a diffeomorphism using the approach of an auxiliary functional and also by the aid of a duality mappi…
Solvability of abstract semilinear equations by a global diffeomorphism theorem
Michal Beldzinski, Marek Galewski, Robert Steglinski
In this work we proivied a new simpler proof of the global diffeomorphism theorem from [9] which we further apply to consider unique solvability of some abstract semilinear equatio…
Parametric critical point theorems and their applications to boundary value problems on the Sierpiński Gasket
Marek Galewski, Mateusz Krukowski
In this note we consider the classical variational tools like: Ekelenad's Variational Principle, Mountain Pass Lemma and some of their corollaries subject to a parameter. Next, we…
Global diffeomorphism theorem applied to the solvability of discrete and continuous boundary value problems
Michał Bełdziński, Marek Galewski
We investigate solvability of a continuous Dirichlet boundary value problem together with its classical discretization using a gobal diffeomorphism theorem.