Best constant in Sobolev inequality. (English) Zbl 0353.46018


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