Download or read book Isoperimetric Inequalities in Unbounded Convex Bodies written by Gian Paolo Leonardi and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the problem of minimizing the relative perimeter under a volume constraint in an unbounded convex body C c R^n , without assuming any further regularity on the boundary of C. Motivated by an example of an unbounded convex body with null isoperimetric profile, we introduce the concept of unbounded convex body with uniform geometry. We then provide a handy characterization of the uniform geometry property and, by exploiting the notion of asymptotic cylinder of C, we prove existence of isoperimetric regions in a generalized sense. By an approximation argument we show the strict concavity of the isoperimetric profile and, consequently, the connectedness of generalized isoperimetric regions. We also focus on the cases of small as well as of large volumes; in particular we show existence of isoperimetric regions with sufficiently large volumes, for special classes of unbounded convex bodies. We finally address some questions about isoperimetric rigidity and analyze the asymptotic behavior of the isoperimetric profile in connection with the notion of isoperimetric dimension.

Download or read book Isoperimetric Inequalities in Unbounded Convex Bodies written by Gian Paolo Leonardi and published by American Mathematical Society. This book was released on 2022-04-08 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Isoperimetric Inequalities in Riemannian Manifolds written by Manuel Ritoré and published by Springer Nature. This book was released on 2023-10-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work gives a coherent introduction to isoperimetric inequalities in Riemannian manifolds, featuring many of the results obtained during the last 25 years and discussing different techniques in the area. Written in a clear and appealing style, the book includes sufficient introductory material, making it also accessible to graduate students. It will be of interest to researchers working on geometric inequalities either from a geometric or analytic point of view, but also to those interested in applying the described techniques to their field.

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Download or read book Archimedean Zeta Integrals for GL 3 times GL 2 written by Miki Hirano and published by American Mathematical Society. This book was released on 2022-07-18 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

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Download or read book Factorizations of Almost Simple Groups with a Solvable Factor and Cayley Graphs of Solvable Groups written by Cai-Heng Li and published by American Mathematical Society. This book was released on 2022-08-31 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Coefficient Systems on the Bruhat Tits Building and Pro p Iwahori Hecke Modules written by Jan Kohlhaase and published by American Mathematical Society. This book was released on 2022-08-31 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Partial Compactification of Monopoles and Metric Asymptotics written by Chris Kottke and published by American Mathematical Society. This book was released on 2022-11-10 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

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