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Nonlocal Isoperimetric Inequality
2019For the nonlocal perimeter, there is also an isoperimetric inequality, and here the main hypothesis used on J is that it is radially nonincreasing.
José M. Mazón +2 more
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Isoperimetric Inequalities for Random Walks
Potential Analysis, 2003On a countably infinite, locally finite and connected graph a reversible Markov chain is considered whose one step transition probabilities are uniformly bounded below. The main theorem states a set of equivalent conditions for diagonal upper bounds on the \(n\)-step transition function. It is based on the corresponding work of \textit{P.
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Isoperimetric-type inequalities
2009It is a fact of experience that several inequalities with isoperimetric content can be retrieved by considering the above-tangent formulation of displacement convexity. Here is a possible heuristic explanation for this phenomenon. Assume, for the sake of the discussion, that the initial measure is the normalized indicator function of some set A.
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A strict inequality for the minimization of the Willmore functional under isoperimetric constraint
Advances in Calculus of Variations, 2023Andrea Mondino, Christian Scharrer
exaly
The quantitative isoperimetric inequality and related topics
Bulletin of Mathematical Sciences, 2015Nicola Fusco
exaly
A Selection Principle for the Sharp Quantitative Isoperimetric Inequality
Archive for Rational Mechanics and Analysis, 2012Marco Cicalese, Gian Paolo Leonardi
exaly
A quantitative isoperimetric inequality for fractional perimeters
Journal of Functional Analysis, 2011Nicola Fusco, Massimiliano Morini
exaly
A mass transportation approach to quantitative isoperimetric inequalities
Inventiones Mathematicae, 2010Alessio Figalli, Francesco Maggi
exaly
Isoperimetric inequality in the Grushin plane
Journal of Geometric Analysis, 2004Roberto Monti, Daniele Morbidelli
exaly