Institute of Mathematics
Technical University of Lodz
Wolczanska 215, 90-924 Lodz, Poland
email: 165708@edu.p.lodz.pl
Maciej Leszczynski
Abstract:
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.
Submitted May 15, 2015. Published September 17, 2015.
Math Subject Classifications: 39A10.
Key Words: Discrete boundary value problem; critical point theory;
discrete p-n-Laplacian; fourth-order.
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Maciej Leszczynski Institute of Mathematics Technical University of Lodz Wolczanska 215, 90-924 Lodz, Poland email: 165708@edu.p.lodz.pl |
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