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Relevant bibliographies by topics / Nonlocal isoperimetric problems

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Academic literature on the topic 'Nonlocal isoperimetric problems'

Author: Grafiati

Published: 14 March 2023

Last updated: 31 July 2025

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Journal articles on the topic "Nonlocal isoperimetric problems"

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Galiano, Gonzalo. "Isoperimetric inequalities in nonlocal diffusion problems with integrable kernel." Opuscula Mathematica 44, no. 5 (2024): 707–26. http://dx.doi.org/10.7494/opmath.2024.44.5.707.

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We deduce isoperimetric estimates for solutions of linear stationary and evolution problems. Our main result establishes the comparison in norm between the solution of a problem and its symmetric version when nonlocal diffusion defined through integrable kernels is replacing the usual local diffusion defined by a second order differential operator. Since an appropriate kernel rescaling allows to define a sequence of solutions of the nonlocal diffusion problems converging to their local diffusion counterparts, we also find the corresponding isoperimetric inequalities for the latter, i.e. we pro

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Pegon, Marc. "Large mass minimizers for isoperimetric problems with integrable nonlocal potentials." Nonlinear Analysis 211 (October 2021): 112395. http://dx.doi.org/10.1016/j.na.2021.112395.

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Cesaroni, Annalisa, and Matteo Novaga. "Isoperimetric problems for a nonlocal perimeter of Minkowski type." Geometric Flows 2, no. 1 (2017). http://dx.doi.org/10.1515/geofl-2017-0003.

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AbstractWe show a quantitative version of the isoperimetric inequality for a non local perimeter of Minkowski type. We also apply this result to study isoperimetric problems with repulsive interaction terms, under volume and convexity constraints.We prove existence of minimizers, and we describe their shape as the volume tends to zero or to infinity.

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Rüland, Angkana, and Antonio Tribuzio. "On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances." Journal of Nonlinear Science 33, no. 2 (2023). http://dx.doi.org/10.1007/s00332-022-09879-6.

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AbstractIn this article, we study scaling laws for simplified multi-well nucleation problems without gauge invariances which are motivated by models for shape-memory alloys. Seeking to explore the role of the order of lamination on the energy scaling for nucleation processes, we provide scaling laws for various model problems in two and three dimensions. In particular, we discuss (optimal) scaling results in the volume and the singular perturbation parameter for settings in which the surrounding parent phase is in the first-, the second- and the third-order lamination convex hull of the wells

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Dissertations / Theses on the topic "Nonlocal isoperimetric problems"

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Bonacini, Marco. "Minimality and stability results for a class of free-discontinuity and nonlocal isoperimetric problems." Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4832.

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Serra, Montolí Joaquim. "Elliptic and parabolic PDEs : regularity for nonlocal diffusion equations and two isoperimetric problems." Doctoral thesis, Universitat Politècnica de Catalunya, 2014. http://hdl.handle.net/10803/279290.

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The thesis is divided into two parts. The first part is mainly concerned with regularity issues for integro-differential (or nonlocal) elliptic and parabolic equations. In the same way that densities of particles with Brownian motion solve second order elliptic or parabolic equations, densities of particles with Lévy diffusion satisfy these more general nonlocal equations. In this context, fully nonlinear nonlocal equations arise in Stochastic control problems or differential games. The typical example of elliptic nonlocal operator is the fractional Laplacian, which is the only translation,

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Ghilli, Daria. "Some Results in Nonlinear PDEs: Large Deviations Problems, Nonlocal Operators, and Stability for Some Isoperimetric Problems." Doctoral thesis, Università degli studi di Padova, 2016. http://hdl.handle.net/11577/3424479.

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This thesis is concerned with various problems arising in the study of nonlinear elliptic PDE. It is divided into three parts. In the first part we consider the short time behaviour of stochastic systems affected by a stochastic volatility evolving at a faster time scale. Our mathematical framework is that of multiple time scale systems and singular perturbations. We are concerned with the asymptotic behaviour of a logarithmic functional of the process, which we study by methods of the theory of homogenization and singular perturbations for fully nonlinear PDEs. We point out three regim

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Book chapters on the topic "Nonlocal isoperimetric problems"

1

Choksi, Rustum. "Nonlocal Cahn-Hilliard and isoperimetric problems: Periodic phase separation induced by competing long- and short-range interactions." In CRM Proceedings and Lecture Notes. American Mathematical Society, 2008. http://dx.doi.org/10.1090/crmp/044/03.

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