Lower bounds for isoperimetric profiles and Yamabe constants. (English) Zbl 1535.53040
MSC:
53C21
Found 72 Documents (Results 1–72)
Dimension-free estimates on distances between subsets of volume \(\varepsilon\) inside a unit-volume body. (English) Zbl 1541.52013
Reviewer: Fraser Daly (Edinburgh)
Generation and motion of interfaces in a mass-conserving reaction-diffusion system. (English) Zbl 1523.35265
Reviewer: Eugene Postnikov (Kursk)
Stable capillary hypersurfaces and the partitioning problem in balls with radial weights. (English) Zbl 1521.49033
Reviewer: Giorgio Saracco (Firenze)
\(\Gamma\)-limit for a sharp interface model related to pattern formation on biomembranes. (English) Zbl 1506.49006
Isoperimetric inequalities in unbounded convex bodies. (English) Zbl 1503.52002
Memoirs of the American Mathematical Society 1354. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5118-9/pbk; 978-1-4704-7020-3/ebook). vii, 86 p. (2022).
Reviewer: Kostiantyn Drach (Klosterneuburg)
On the existence and nonexistence of isoperimetric inequalities with different monomial weights. (English) Zbl 1496.46027
MSC:
46E35
Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds. (English) Zbl 1497.53076
Reviewer: Charalampos Charitos (Athína)
Low correlation noise stability of symmetric sets. (English) Zbl 1483.60033
Reviewer: Nasir N. Ganikhodjaev (Tashkent)
On critical points of the relative fractional perimeter. (English) Zbl 1475.49053
Reviewer: Lakehal Belarbi (Mostaganem)
Isoperimetry, scalar curvature, and mass in asymptotically flat Riemannian 3-manifolds. (English) Zbl 1470.53036
Reviewer: Andreas Arvanitoyeorgos (Patras)
MSC:
53C20
On the isoperimetric inequality and surface diffusion flow for multiply winding curves. (English) Zbl 1465.53020
Reviewer: Ahmed Youssfi (Fès)
A surface with discontinuous isoperimetric profile and expander manifolds. (English) Zbl 1444.53027
Reviewer: Eleutherius Symeonidis (Bucureşti)
Asymptotic spherical shapes in some spectral optimization problems. (English. French summary) Zbl 1433.49059
Vortex patterns and sheets in segregated two component Bose-Einstein condensates. (English) Zbl 1430.49003
Reviewer: Dumitru Motreanu (Perpignan)
Triangulation-based isogeometric analysis of the Cahn-Hilliard phase-field model. (English) Zbl 1442.65012
Symmetric double bubbles in the Grushin plane. (English) Zbl 1439.53033
Reviewer: Peibiao Zhao (Nanjing)
Isoperimetric inequality and Weitzenböck type formula for critical metrics of the volume. (English) Zbl 1429.53052
Min-max theory for constant mean curvature hypersurfaces. (English) Zbl 1432.53086
Reviewer: Costache Apreutesei (Iaşi)
MSC:
53C42
Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities. (English) Zbl 1401.35145
Reviewer: Andrei Perjan (Chişinău)
MSC:
35K08
Large isoperimetric regions in the product of a compact manifold with Euclidean space. (English) Zbl 1354.49094
Comparative computational analysis of the Cahn-Hilliard equation with emphasis on \(C^{1}\)-continuous methods. (English) Zbl 1352.65352
Courant-sharp eigenvalues of the three-dimensional square torus. (English) Zbl 1348.35147
Reviewer: James Bernard Kennedy (Ulm)
Large isoperimetric regions in asymptotically hyperbolic manifolds. (English) Zbl 1344.53048
Reviewer: Zdeněk Dušek (Hradec Kralove)
MSC:
53C50
Second-order \(\Gamma\)-limit for the Cahn-Hilliard functional. (English) Zbl 1356.49016
Reviewer: Jafar Zafarani (Isfahan)
MSC:
49J45
The hyperplane is the only stable, smooth solution to the isoperimetric problem in Gaussian space. (English) Zbl 1325.53079
Integral isoperimetric transference and dimensionless Sobolev inequalities. (English) Zbl 1338.46038
Isoperimetric inequalities for submanifolds. Jellett-Minkowski’s formula revisited. (English) Zbl 1321.53071
Reviewer: Boris S. Kruglikov (Tromsø)
Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions. (English) Zbl 1297.49078
Reviewer: Manuel Ritoré (Granada)
On the Yamabe constants of \(S^2\times\mathbb R^3\) and \(S^3\times\mathbb R^2\). (English) Zbl 1280.53042
MSC:
53C21
Minimal surfaces in \(S^3\): a survey of recent results. (English) Zbl 1276.53008
Reviewer: Harold Parks (Corvallis)
Isoperimetry and stability of hyperplanes for product probability measures. (English) Zbl 1267.53014
The classical theory of minimal surfaces. (English) Zbl 1232.53003
Reviewer: Erich Hoy (Friedberg)
Eigenvalues of Euclidean wedge domains in higher dimensions. (English) Zbl 1247.35080
Reviewer: Emily Dryden (Lewisburg, PA)
MSC:
35P15
A phase-field approach for minimizing the area of triply periodic surfaces with volume constraint. (English) Zbl 1216.65021
MSC:
65D17
Stable constant-mean-curvature hypersurfaces are area minimizing in small \(L^1\) neighborhoods. (English) Zbl 1195.49055
Pointwise symmetrization inequalities for Sobolev functions and applications. (English) Zbl 1216.46026
Reviewer: Joan Cerdà (Barcelona)
Submanifolds, isoperimetric inequalities and optimal transportation. (English) Zbl 1194.53006
Reviewer: Andrew Bucki (Edmond)
On stable constant mean curvature surfaces in \(\mathbb S^2\times \mathbb R\) and \(\mathbb H^2\times \mathbb R \). (English) Zbl 1195.53089
Reviewer: Kaarin Riives (Tartu)
Isoperimetric Hardy type and Poincaré inequalities on metric spaces. (English) Zbl 1195.46035
Laptev, Ari (ed.), Around the research of Vladimir Maz’ya. I. Function spaces. Dordrecht: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher (ISBN 978-1-4419-1340-1/hbk; 978-1-4419-1341-8/ebook; 978-5-9018-7341-0/hbk). International Mathematical Series (New York) 11, 285-298 (2010).
The isoperimetric profile of a smooth Riemannian manifold for small volumes. (English) Zbl 1175.53048
Reviewer: Peter B. Gilkey (Eugene)
MSC:
53C20
Isoperimetric comparison theorems for manifolds with density. (English) Zbl 1175.49042
Reviewer: Vladimir Balan (Bucureşti)
The size of isoperimetric surfaces in 3-manifolds and a rigidity result for the upper hemisphere. (English) Zbl 1187.53038
Reviewer: Péter Olajos (Miskolc)
On the role of convexity in isoperimetry, spectral gap and concentration. (English) Zbl 1181.52008
Reviewer: Yurii G. Nikonorov (Volgodonsk)
Foliations of small tubes in Riemannian manifolds by capillary minimal discs. (English) Zbl 1161.53347
Constant mean curvature spheres in Riemannian manifolds. (English) Zbl 1165.53038
Reviewer: James Hebda (St. Louis)
The Levy-Gromov isoperimetric inequality in convex manifolds with boundary. (English) Zbl 1149.53021
MSC:
53C20
Mass transport and variants of the logarithmic Sobolev inequality. (English) Zbl 1170.46031
Reviewer: Jacques Franchi (Strasbourg)
Tunneling in two dimensions. (English) Zbl 1117.82006
Reviewer: Farruh Mukhamedov (Kuantan)
Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry. (English) Zbl 1118.26014
Reviewer: Sotiris K. Ntouyas (Ioannina)
Large embedded balls and Heegaard genus in negative curvature. (English) Zbl 1056.57014
Reviewer: Alberto Cavicchioli (Modena)
Isoperimetric inequalities in crystallography. (English) Zbl 1048.53006
Reviewer: Doan The Hieu (Hue)
The periodic isoperimetric problem. (English) Zbl 1046.52002
Reviewer: Anatoliy Milka (Kharkov)
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