Symmetrization with Respect to a Measure

DOI10.2307/2154317zbMath0844.49025OpenAlexW4240677432MaRDI QIDQ4695363

Friedmar Schulz, Virginia N. Vera de Serio

Publication date: 3 September 1996

Full work available at URL: https://doi.org/10.2307/2154317

zbMATH Keywords

function of bounded variationenergy inequalityFaber-Krahn inequalitySobolev functionSchwarz symmetrizationco-area formulaspherical symmetric rearrangementCarleman type isoperimetric inequalitynonhomogeneous mass density

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Conformal mappings of special domains (30C20)

Related Items (1)

Rearrangements in Carnot groups

Cites Work

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• Symmetrisierung für Funktionen mehrerer reeller Variablen
• On the principal frequency of a membrane
• Rearrangements and convexity of level sets in PDE
• Best constant in Sobolev inequality
• Symmetrization of functions in Sobolev spaces and the isoperimetric inequality
• On the isoperimetric inequality on surfaces of variable Gaussian curvature
• Strict inequalities for integrals of decreasingly rearranged functions
• Weakly Differentiable Functions

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