Best constant in Sobolev inequality

DOI10.1007/BF02418013zbMath0353.46018WikidataQ28109433 ScholiaQ28109433MaRDI QIDQ1236322

Giorgio Talenti

Publication date: 1976

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume, other geometric measure theory (28A75) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• An integral formula for total gradient variation
• Diseguaglianze di Sobolev sulle ipersuperfici minimali
• Normal and integral currents
• Curvature Measures
• Minimum Value for c in the Sobolev Inequality $\| {\phi ^3 } \|\leqq c\| {\nabla \phi } \|^3 $
• Functions whose partial derivatives are measures