Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium

DOI10.5802/jep.45zbMath1430.74050arXiv1505.02304OpenAlexW2109568983MaRDI QIDQ2011984

Matteo Cozzi, Enrico Valdinoci

Publication date: 27 July 2017

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02304

zbMATH Keywords

phase transitionsfractional Laplaciannon-local energiesplane-like minimizers

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Variational methods applied to PDEs (35A15) Existence theories for free problems in two or more independent variables (49J10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Analysis of microstructure in solids (74N15) Fractional partial differential equations (35R11) Entire solutions to PDEs (35B08)

Related Items (6)

Planelike minimizers of nonlocal Ginzburg–Landau energies and fractional perimeters in periodic media ⋮ Planelike interfaces in long-range Ising models and connections with nonlocal minimal surfaces ⋮ Minimizers for nonlocal perimeters of Minkowski type ⋮ Nonlocal phase transitions in homogeneous and periodic media ⋮ Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes ⋮ One-dimensional solutions of non-local Allen-Cahn-type equations with rough kernels

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