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A Semigroup Version of the Isoperimetric Inequality

Semigroup Forum, 2004
The 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 \({\partial}B\).
openaire   +2 more sources

Generalized isoperimetric inequalities. III

Journal of Mathematical Physics, 1973
The 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.
openaire   +1 more source

Some weighted isoperimetric inequalities in quantitative form

Journal of Functional Analysis, 2023
Nicola Fusco, Domenico Angelo la Manna
exaly  

Sobolev and isoperimetric inequalities with monomial weights

Journal of Differential Equations, 2013
Xavier Cabré, Xavier Ros-Oton
exaly  

Nonlocal isoperimetric inequalities for Kolmogorov-Fokker-Planck operators

Journal of Functional Analysis, 2020
Giulio Tralli, Nicola Garofalo
exaly  

Isoperimetric Inequalities and Transient Random Walks on Graphs

Annals of Probability, 1992
Carsten Thomassen
exaly  

Isoperimetric inequalities for eigenvalues of the Laplacian and the Schrödinger operator

Bulletin of Mathematical Sciences, 2012
Rafael Benguría, Benjamin Loewe
exaly  

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