@Article{Galewski2014, author = "Galewski, Marek and Galewska, Elżbieta", title = "On a new critical point theorem and some applications to discrete equations", journal = "Opuscula Math.", year = "2014", volume = "34", number = "4", pages = "725--732", doi = "http://dx.doi.org/10.7494/OpMath.2014.34.4.725", url = "http://dx.doi.org/10.7494/OpMath.2014.34.4.725", 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", issn = "1232-9274" }