Search results for "Non-smooth critical point theory"

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On a min-max principle for non-smooth functions and applications

2009

Extensions of the seminal Ghoussoub's min-max principle [15] to non-smooth functionals given by a locally Lipschitz continuous term plus a convex, proper, lower semi-continuous function are presented and discussed in this survey paper. The problem of weakening the PalaisSmale compactness condition is also treated. Some abstract consequences as well as applications to elliptic hemivariational or variational-hemivariational inequalities are then pointed out. ©Dynamic Publishers, Inc.

min-max resultsAnalysiNon-smooth critical point theory
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2-SYMMETRIC CRITICAL POINT THEOREMS FOR NON-DIFFERENTIABLE FUNCTIONS

2008

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.

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