Search results for "Cerami condition"

showing 2 items of 2 documents

Bifurcation phenomena for the positive solutions of semilinear elliptic problems with mixed boundary conditions

2016

We consider a parametric semilinear elliptic equation with a Cara-theodory reaction which exhibits competing nonlinearities. It is "concave" (sub-linear) near the origin and "convex" (superlinear) or linear near $+\infty$. Using variational methods based on the critical point theory, coupled with suitable truncation and comparison techniques, we prove a bifurcation-type theorem, describing the set of positive solutions as the parameter varies.

Positive solutionTruncationCerami conditionMixed boundary conditionMountain pass theoremBifurcation-type theorem
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Some remarks on nonsmooth critical point theory

2006

A general min-max principle established by Ghoussoub is extended to the case of functionals f which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function, when f satisfies a compactness condition weaker than the Palais-Smale one, i.e., the so-called Cerami condition. Moreover, an application to a class of elliptic variational-hemivariational inequalities in the resonant case is presented. © Springer Science+Business Media B.V. 2007.

Pure mathematicsProblem at risonanceControl and OptimizationApplied MathematicsMathematical analysisRegular polygonNonsmooth Cerami conditionManagement Science and Operations ResearchLipschitz continuityNonsmooth Cerami; Elliptic variational–hemivariational inequalities; Problem at risonanceNonsmooth CeramiCritical point (mathematics)Computer Science ApplicationsElliptic variational-hemivariational inequalitieCompact spaceElliptic variational–hemivariational inequalitiesCritical points for nonsmooth functionMathematics
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