A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions (Q1803344)

A very general variational principle (on the strong minimum of \(f+g\), with \(f\) Lipschitz-continuous and \(g\) smooth) on a Banach space is given. Then the authors prove that the Ekeland variational principle (as well as other variational principles) are included in their principle. In the last part of the paper, applications to viscosity solutions in infinite- dimensional Banach spaces, are given.