1,721,210 research outputs found
Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains
Full text linkSharp stability for the Riesz potential
No full textIn this paper we show the stability of the ball as maximizer of the Riesz potential among sets of given volume. The stability is proved with sharp exponent 1=2, and is valid for any dimension N 2 and any power 1 N
Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains
No full textWe settle the case of equality for the relative isoperimetric inequality outside any arbitrary convex set with not empty interior
La Flora e la Vegetazione del Somma - Vesuvio.
No full textIn: PICARIELLO O., DI FUSCO N. & FRAISSINET M. (Eds.) - Elementi di Biodiversità del Parco Nazionale del Vesuvi
A Bonnesen type inequality involving the spherical deviation
No full textIn this paper we investigate the stability of the deviation from being a sphere with respect to the isoperimetric deficit for sets of
finite perimeter satisfying a mild regularity property, giving an extension to non-convex sets of the classical Bonnesen type result
of Fuglede for nearly spherical domains. In particular we prove that if a set of finite perimeter E satisfies an interior cone condition
with sufficiently wide angles (cf. Definition 2.1) then we have
λH(E) Φ
D(E)
,
where λH(E) is the deviation from a spherical shape with respect to the Hausdorff distance, D(E) denotes the isoperimetric deficit
and Φ is an explicit function vanishing continuously at zero and depending on the dimension
Special issue: Molecular biomarkers in solid tumors
Full text linkDiagnostic strategies using a next-generation systematic approach have the potential to radically improve the outcome and subsequent quality of life of patients with cancer [...]
Biomarkers for targeted rehabilitation strategies after breast cancer: Proposal for the next-generation management of survivorship issues
Full text linkThe sharp quantitative Sobolev inequality for functions of bounded variation
No full textAbstractThe classical Sobolev embedding theorem of the space of functions of bounded variation BV(Rn) into Ln′(Rn) is proved in a sharp quantitative form
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