6533b860fe1ef96bd12c39df

RESEARCH PRODUCT

2-SYMMETRIC CRITICAL POINT THEOREMS FOR NON-DIFFERENTIABLE FUNCTIONS

Dumitru MotreanuRoberto LivreaPasquale Candito

subject

Discrete mathematicsNon-smooth critical point theory minmax theorems symmetric functionsGeneral MathematicsRegular polygonEven and odd functionsDifferentiable functionLipschitz continuityCritical point (mathematics)Mathematics

description

AbstractIn this paper, some min–max theorems for even andC1functionals 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.

https://doi.org/10.1017/s0017089508004333