Abstract:In this paper, two deformation lemmas concerning a family of indefinite, non necessarily continuously differentiable functionals are proved. A critical point theorem, which extends the classical result of Benci-Rabinowitz [14, Theorem 5.29] to the above-mentioned setting, is then deduced.
Keywords: locally Lipschitz continuous and indefinite functionals, deformation lemmas, critical point theorems
AMS Subject Classification: 35A15, 49J35, 58E05