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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.FA2017
Weighted spaces on nilpotent, locally compact groups
Mateusz Krukowski
Our paper begins with a revision of spectral theory for commutative Banach algebras, which enables us to prove the conjecture for locally compact abelian groups. We follow…