Planelike minimizers of nonlocal Ginzburg–Landau energies and fractional perimeters in periodic media

DOI10.1088/1361-6544/aab89dzbMath1393.35269arXiv1802.01564OpenAlexW3099125937MaRDI QIDQ3176530

Enrico Valdinoci, Matteo Cozzi

Publication date: 23 July 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01564

zbMATH Keywords

periodic medianonlocal Ginzburg-Landau-Allen-Cahn equationplanelike minimizersdensity and energy estimates

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Fractional partial differential equations (35R11)

Related Items

Planelike interfaces in long-range Ising models and connections with nonlocal minimal surfaces ⋮ Some perspectives on (non)local phase transitions and minimal surfaces ⋮ 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 ⋮ Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium

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