Opuscula Math. 34, no. 4 (2014), 725-732
On a new critical point theorem and some applications to discrete equations
Marek Galewski
Elżbieta Galewska
Abstract.
Using the Fenchel-Young duality we derive a new critical point theorem. We illustrate our results with solvability for certain discrete BVP. Multiple solutions are also considered.
Keywords:
critical point, multiplicity, discrete equation, Fenchel-Young transform.
Mathematics Subject Classification:
49J27, 39A12, 39A10.
About the authors ▼
Marek Galewski
Technical University of Lodz, Institute of Mathematics, Wolczanska 215, 90-924 Lodz, Poland
Elżbieta Galewska
Technical University of Lodz, Centre of Mathematics and Physics, Al. Politechniki 11, 90-924 Lodz, Poland
About the article ▼
Received: 2014-02-23.
Revised: 2014-04-04.
Accepted: 2014-04-07.
Cite this article as ▼
Marek Galewski, Elżbieta Galewska, On a new critical point theorem and some applications to discrete equations, Opuscula Math. 34, no. 4 (2014), 725-732,
http://dx.doi.org/10.7494/OpMath.2014.34.4.725.
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