Existence and multiplicity results for boundary value problems connected with the discrete p(.)-Laplacian on weighted finite graphs
Classical Analysis and ODEs
2016-06-01 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1605.09412,
title = {Existence and multiplicity results for boundary value problems connected with the discrete p(.)-Laplacian on weighted finite graphs},
author = {Marek Galewski and Renata Wieteska},
journal= {arXiv preprint arXiv:1605.09412},
year = {2016}
}