Marek Galewski, Renata Wieteska
Published 2016-05-30Version 1
We use the direct variational method, the Ekeland variational principle, the mountain pass geometry and Karush-Kuhn-Tucker theorem in order to investigate existence and multiplicity results for boundary value problems connected with the discrete p(.)-Laplacian on weighted finite graphs. Several auxiliary inequalities for the discrete p(.)-Laplacian on finite graphs are also derived. Positive solutions are considered.
Asymptotic solutions of the boundary value problems for the singularly perturbed differential algebraic equations with a turning point
A critical point theorem on a closed ball and some applications to boundary value problems
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