Positive solutions for anisotropic discrete BVP
Marek Galewski, Szymon Glab, Renata Wieteska
TL;DR
This paper proves the existence of at least two positive solutions for an anisotropic discrete boundary value problem using mountain pass and Karsuh-Kuhn-Tucker methods, extending previous results.
Contribution
It introduces new existence results for positive solutions of anisotropic discrete BVPs, generalizing and improving prior work in the field.
Findings
Existence of at least two positive solutions established.
Application of mountain pass and Karsuh-Kuhn-Tucker theorems.
Results extend previous findings in anisotropic discrete BVPs.
Abstract
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].
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Taxonomy
TopicsContact Mechanics and Variational Inequalities · Nonlinear Differential Equations Analysis · Optimization and Variational Analysis