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A weighted version of a rearrangement inequality

https://doi.org/10.1007/bf02837230
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21/21 checkable references clean · checked 2026-08-11

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

6 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.

The 21 checked references that resolve
resolves10.1007/BF01425510
The Brunn-Minkowski inequality in Gauss space
resolves10.1007/978-3-662-07441-1
Geometric Inequalities
resolves10.24033/asens.1474
Inégalités isopérimétriques et intégrales de Dirichlet gaussiennes
resolves10.1007/BF01245917
Symmetrization of functions in Sobolev spaces and the isoperimetric inequality
resolves10.1007/BFb0075060
Rearrangements and Convexity of Level Sets in PDE
resolves10.1070/RM1989v044n05ABEH002287
Rearrangements of functions and embedding theorems
resolves10.1002/sapm197757293
Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
resolves10.2307/2007032
Sharp Constants in the Hardy-Littlewood-Sobolev and Related Inequalities
resolves10.1080/00036818108839370
Sharp estimates for solutions to a certain type of singular elliptic boundary value problems in two dimensions
resolves10.1080/00036819108840022
On functions whose curves of steepest descent are straight lines
resolves10.1016/B978-0-12-506855-0.50005-2
Geometric Measure Theory
resolves10.1512/iumj.1971.20.20101
resolves10.1090/S0002-9904-1978-14553-4
The isoperimetric inequality
resolves10.1515/9781400882663
Isoperimetric Inequalities in Mathematical Physics. (AM-27)
resolves10.1007/BF01214695
Zur Symmetrisierung von Funktionen auf Sphären
resolves10.1007/BF01184955
Symmetrisierung für Funktionen mehrerer reeller Variablen
resolves10.1007/BF01228252
�ber die Symmetrisierung stetiger Funktionen im euklidischen Raum
resolves10.1007/BF02418013
Best constant in Sobolev inequality
resolves10.1016/B978-0-444-89596-7.50008-0
The Standard Isoperimetric Theorem
resolves10.1016/B978-0-444-89597-4.50015-9
On Isoperimetric Theorems of Mathematical Physics
resolves10.1007/978-1-4612-1015-3
Weakly Differentiable Functions
The 6 references without a DOI — listed, not checked
no DOI — not checked[Bae]A. Baernstein, II,A unified approach to symmetrization, inPartial Differential Equations of Elliptic Type (A. Alvino—E. Fabes—G. Talenti, editors), Symposia Math.,35, Cambridge Univ. Press (1994), pp. 47–91.
no DOI — not checked[BZ]J. Brothers—W. Ziemer,Minimal rearrangements of Sobolev functions, J. Reine Angew. Math.,384 (1988), pp. 153–179.
no DOI — not checked[Fe]H. Federer,Geometric measure theory, Grundlehren der Mathematischen Wissenschaften,153, Springer-Verlag (1969).
no DOI — not checked[HLP]G. H. Hardy—J. E. Littlewood—G. Pólya,Inequalities, Cambridge Univ. Press (1964).
no DOI — not checked[LL]E. H. Lieb—M. Loss,Analysis, Graduate Studies in Mathematics,14, Amer. Math. Soc. (1997).
no DOI — not checked[Ta4]G. Talenti,Inequalities in rearrangement invariant function spaces, inNonlinear Analysis, Function Spaces and Applications, 5 (M. Krbec—A. Kufner— B. Opic—J. Rakosnik, editors), Prometheus Publishing House, Prague (1994), pp. 177–231.
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