Lipschitz regularity for degenerate elliptic integrals with π,β―π-growth
Giovanni Cupini, Paolo Marcellini, Elvira Mascolo, Antonia Passarelli di Napoli
Abstract
Abstract We establish the local Lipschitz continuity and the higher differentiability of vector-valued local minimizers of a class of energy integrals of the Calculus of Variations. The main novelty is that we deal with possibly degenerate energy densities with respect to the π₯-variable.
Topics & Concepts
Lipschitz continuityMathematicsDegenerate energy levelsDifferentiable functionLipschitz domainClass (philosophy)Pure mathematicsMathematical analysisRegular polygonNoveltyElliptic integralGeometryPhysicsPhilosophyArtificial intelligenceTheologyComputer scienceQuantum mechanicsNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringAdvanced Harmonic Analysis Research