Fourth-order discrete anisotropic boundary-value problems

In this article we consider the fourth-order discrete anisotropic boundary value problem with both advance and retardation. We apply the direct method of the calculus of variations and the mountain pass technique to prove the existence of at least one and at least two solutions. Non-existence of non...

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Veröffentlicht in:	Electronic journal of differential equations 2015-09, Vol.2015 (238), p.1-14
1. Verfasser:	Maciej Leszczynski
Format:	Artikel
Sprache:	eng
Schlagworte:	critical point theory Discrete boundary value problem discrete p-n-Laplacian fourth-order
Online-Zugang:	Volltext
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Zusammenfassung:	In this article we consider the fourth-order discrete anisotropic boundary value problem with both advance and retardation. We apply the direct method of the calculus of variations and the mountain pass technique to prove the existence of at least one and at least two solutions. Non-existence of non-trivial solutions is also undertaken.
ISSN:	1072-6691