Lower Semicontinuity of Parametric Integrals

DOI10.2307/1996092zbMath0264.49008OpenAlexW4232249604MaRDI QIDQ5680677

Edward Silverman

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996092

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Length, area, volume, other geometric measure theory (28A75) Integration of real functions of several variables: length, area, volume (26B15)

Cites Work

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• On the semi-continuity of double integrals in the Calculus of Variations
• A problem of least area
• Simple areas
• Higher dimensional mappings for which the area formula holds
• Condizioni necessarie per la semicontinuita degli integrali sopra una superficie in forma parametrica
• The parametric variational problem for double integrals
• A Sufficient Condition for the Lower Semicontinuity of Parametric Integrals
• Essential Multiplicity and Lebesgue Area
• An inequality related to the isoperimetric inequality
• An Existence Theorem of Calculus of Variations for Integrals on Parametric Surfaces

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