6533b860fe1ef96bd12c39df
RESEARCH PRODUCT
2-SYMMETRIC CRITICAL POINT THEOREMS FOR NON-DIFFERENTIABLE FUNCTIONS
Dumitru MotreanuRoberto LivreaPasquale Canditosubject
Discrete mathematicsNon-smooth critical point theory minmax theorems symmetric functionsGeneral MathematicsRegular polygonEven and odd functionsDifferentiable functionLipschitz continuityCritical point (mathematics)Mathematicsdescription
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.
year | journal | country | edition | language |
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2008-09-01 | Glasgow Mathematical Journal |