The ε-ε property and the boundedness of isoperimetric sets with different monomial weights

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Length, area, volume, other geometric measure theory (28A75) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Cites Work

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Sharp isoperimetric inequalities via the ABP method
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Isoperimetric, Sobolev, and eigenvalue inequalities via the Alexandroff-Bakelman-Pucci method: a survey
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Symmetrization in geometry
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Sobolev inequalities with jointly concave weights on convex cones
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On weighted isoperimetric inequalities with non-radial densities
Weighted isoperimetric inequalities on ℝⁿ and applications to rearrangements
A regularity theorem for the first variation of the area integrand

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