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A Semigroup Version of the Isoperimetric Inequality
Semigroup Forum, 2004The isoperimetric inequality in \({\mathbb R}^n\) states the following principle. Let \(A\), \(B\) be subsets of \({\mathbb R}^n\) with the same volume, \(B\) a Euclidean ball and denote by \(| {\partial}A|\), \(| {\partial}B|\) the respective measure of the surfaces \({\partial}A\) and \({\partial}B\).
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Generalized isoperimetric inequalities. III
Journal of Mathematical Physics, 1973The generalized isoperimetric inequalities for rearranged Green's functions, which have previously been discussed for a rearrangement process analogous to Steiner symmetrization, are obtained for a type of rearrangement analogous to circular symmetrization.
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Some weighted isoperimetric inequalities in quantitative form
Journal of Functional Analysis, 2023Nicola Fusco, Domenico Angelo la Manna
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Sobolev and isoperimetric inequalities with monomial weights
Journal of Differential Equations, 2013Xavier Cabré, Xavier Ros-Oton
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Nonlocal isoperimetric inequalities for Kolmogorov-Fokker-Planck operators
Journal of Functional Analysis, 2020Giulio Tralli, Nicola Garofalo
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Isoperimetric Inequalities and Transient Random Walks on Graphs
Annals of Probability, 1992Carsten Thomassen
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The Isoperimetric Inequality on the Sphere
American Journal of Mathematics, 1935openaire +1 more source
Weighted isoperimetric inequalities on ℝnand applications to rearrangements
Mathematische Nachrichten, 2008Anna Mercaldo
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Isoperimetric inequalities for eigenvalues of the Laplacian and the Schrödinger operator
Bulletin of Mathematical Sciences, 2012Rafael Benguría, Benjamin Loewe
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