Second-order derivatives and rearrangements
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Publication:1847782
DOI10.1215/S0012-7094-00-10531-5zbMath1017.46023MaRDI QIDQ1847782
Publication date: 27 October 2002
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Sequence spaces (including Köthe sequence spaces) (46A45) Inequalities involving derivatives and differential and integral operators (26D10)
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Cites Work
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- Symmetrisierung für Funktionen mehrerer reeller Variablen
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Comparison results for elliptic and parabolic equations via Schwarz symmetrization
- Rearrangements and convexity of level sets in PDE
- On the isoperimetric nature of a rearrangement inequality and its consequences for some variational problems
- Best constant in Sobolev inequality
- Symmetrization of functions in Sobolev spaces and the isoperimetric inequality
- Problèmes isoperimetriques et espaces de Sobolev
- Weighted Dirichlet-type inequalities for Steiner symmetrization
- Convex symmetrization and applications
- Sobolev embeddings into BMO, VMO, and \(L_{\infty}\)
- A co-area formula with applications to monotone rearrangement and to regularity
- Zur Symmetrisierung von Funktionen auf Sphären
- Moser-type inequalities in Lorentz spaces
- Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
- A weighted isoperimetric inequality and applications to symmetrization
- Über die Symmetrisierung stetiger Funktionen im euklidischen Raum
- Measure preserving transformations and rearrangements
- Rearrangements of functions and embedding theorems
- Inégalités isopérimétriques et intégrales de Dirichlet gaussiennes
- Rearrangements of functions and convergence in orlicz spaces
- IMBEDDING THEOREMS AND GEOMETRIC INEQUALITIES
- Gradient regularity for minimizers under general growth conditions
- A sharp embedding theorem for Orlicz-Sobolev spaces
- Approximation De Fonctions Convexes Sur Un Espace De Mesures Et Applications
- On the regularity of the positive part of functions
- Differences, Derivatives, and Decreasing Rearrangements
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
