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math.CA2017
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…
math.CA2017
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…
math.CA2017
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.