In this paper, some minmax theorems for even and C1 functionals established by Ghoussoub are extended to the case of functionals that are the sum of a locally 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. © 2008 Glasgow Mathematical Journal Trust.
Candito, P., Livrea, R., Motreanu, D. (2008). Z_2-symmetric critical point theorems for non-differentiable functions. GLASGOW MATHEMATICAL JOURNAL, 50(3), 447-466 [10.1017/S0017089508004333].
Z_2-symmetric critical point theorems for non-differentiable functions
Livrea, Roberto;Motreanu, Dumitru
2008-01-01
Abstract
In this paper, some minmax theorems for even and C1 functionals established by Ghoussoub are extended to the case of functionals that are the sum of a locally 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. © 2008 Glasgow Mathematical Journal Trust.
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