arXiv subjects

Renata Wieteska

Publications and source records attributed to Renata Wieteska.

3 recordsLinked to original sources

arXiv2016

Existence and multiplicity results for boundary value problems connected with the discrete p(.)-Laplacian on weighted finite graphs

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.

math.CA↗

arXiv2013

Multiple periodic solutions to a discrete p(k)- Laplacian problem

We investigate the existence of multiple periodic solutions to the anisotropic discrete system. We apply the linking method and a new three critical point theorem which we provide.

math.CA↗

arXiv2012

Positive solutions for anisotropic discrete BVP

Using mountain pass arguments and the Karsuh-Kuhn-Tucker Theorem, we prove the existence of at least two positive solution of the anisotropic discrete Dirichlet boundary value problem. Our results generalize and improve those of [15].

math.CA↗