Existence of solutions for an elliptic boundary value problem via a global minimization theorem on Hilbert spaces
We present a new global minimization theorem on Hilbert spaces which is different from the one in Hofer [7] using the notion of a nonexpansive potential operator. An example is given to illustrate our result. Mathematics subject classification (2010) 74G65, 46C05, 47H09, 47G40.