Opuscula Math. 34, no. 4 (2014), 725-732
On a new critical point theorem and some applications to discrete equations
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.