Convexity and Its Applications 1983
DOI: 10.1007/978-3-0348-5858-8_2
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Isoperimetric inequalities

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Cited by 261 publications
(536 citation statements)
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“…In [7] the model equation is It is interesting to remark that the comparison of integrals in balls of the form (1.6) is the result typically obtained for many parabolic equations, cf. the results of [6]. It is shown in [16] is studied by A. Alvino and G. Trombetti, [2] , [3] , under the conditions (1.2).…”
Section: A Symmetrization Results For Elliptic Equations With Lower-ormentioning
confidence: 99%
See 1 more Smart Citation
“…In [7] the model equation is It is interesting to remark that the comparison of integrals in balls of the form (1.6) is the result typically obtained for many parabolic equations, cf. the results of [6]. It is shown in [16] is studied by A. Alvino and G. Trombetti, [2] , [3] , under the conditions (1.2).…”
Section: A Symmetrization Results For Elliptic Equations With Lower-ormentioning
confidence: 99%
“…, cf. [6 ] , [13] It follows from the lemma that P(0) 0. It also follows from (2 12) as a consequence of de Giorgi's isoperimetric inequality plus Fleming-Rishel's formula, cf.…”
Section: 2d)mentioning
confidence: 99%
“…At a neighborhood of any point of M, we may adopt an isothermal coordinate z = ξ 1 +iξ 2 = γe iθ such that the first fundamental form is, for some constant λ > 0, ds 2 …”
Section: Proof Of Proposition Ii2mentioning
confidence: 99%
“…The domain D enclosed by Γ 0 , the line y = y 0 , and the curve defined by f has the same area as D 0 . The classical isoperimetric inequality [2] implies that the length of the boundary of D is greater or equal to the length of the boundary of D 0 . Thus…”
Section: Appendixmentioning
confidence: 99%
“…Further, by construction, D contains two discs of radius |Ω e * |/2, whose centers are separated by a distance d = 2(e * − e 0 ). In this situation, the following isoperimetric inequality holds (see p. 7 in [2]). By density, it follows that for all f ∈ F e0 …”
Section: Appendixmentioning
confidence: 99%