Z_2 symmetric critical point theorems for nondifferentiable functions

In this paper, some min–max theorems for even and C1 functionalsestablished by Ghoussoub are extended to the case of functionals that are the sum of alocally Lipschitz continuous, even term and a convex, proper, lower semi-continuous,even function. A class of non-smooth functionals admitting an unbounded sequence of critical values is also pointed out.