TY - JOUR ID - Galewski2014 LB - Galewski2014 AU - Galewski, Marek AU - Galewska, Elżbieta TI - On a new critical point theorem and some applications to discrete equations ST - On a new critical point theorem and some applications to discrete equations JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2014 VL - 34 IS - 4 SP - 725 EP - 732 DO - http://dx.doi.org/10.7494/OpMath.2014.34.4.725 UR - http://dx.doi.org/10.7494/OpMath.2014.34.4.725 AB - 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. KW - critical point KW - multiplicity KW - discrete equation KW - Fenchel-Young transform SN - 1232-9274 ER -