Poincaré-Sobolev and related inequalities for submanifolds of \(R^ n\)

DOI10.2140/pjm.1990.145.59zbMath0673.53004OpenAlexW1986529133MaRDI QIDQ1120836

John E. Hutchinson

Publication date: 1990

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1990.145.59

zbMATH Keywords

submanifoldsOrlicz spacerectifiable varifoldsPoincare-Sobolev inequality

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (3)

Decay rates for the quadratic and super-quadratic tilt-excess of integral varifolds ⋮ On hypersurfaces in \(\mathbb{R}^{n+1}\) with integral bounds on curvature. ⋮ Decay estimates for the quadratic tilt-excess of integral varifolds

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