Marek Galewski, Szymon Glab, Renata Wieteska
Abstract:
Using mountain pass arguments and the Karsuh-Kuhn-Tucker Theorem,
we prove the existence of at least two positive solution for
anisotropic discrete Dirichlet boundary-value problems.
Our results generalized and improve those in [16].
Submitted August 12, 2012. Published January 30, 2013.
Math Subject Classifications: 39A10, 34B18, 58E30.
Key Words: Discrete boundary value problem; mountain pass theorem;
variational methods; Karush-Kuhn-Tucker Theorem;
positive solution; anisotropic problem.
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Marek Galewski Institute of Mathematics, Technical University of Lodz Wolczanska 215, 90-924 Lodz, Poland email: marek.galewski@p.lodz.pl |
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| Szymon Glab Institute of Mathematics, Technical University of Lodz Wolczanska 215, 90-924 Lodz, Poland email: szymon.glab@p.lodz.pl | |
| Renata Wieteska Institute of Mathematics, Technical University of Lodz Wolczanska 215, 90-924 Lodz, Poland email: renata.wieteska@p.lodz.pl |
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