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

Author:

Cozzi Matteo,Valdinoci Enrico

Publisher

Cellule MathDoc/CEDRAM

Subject

General Mathematics

Reference39 articles.

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2. [BBM01] Bourgain, J.; Brezis, H.; Mironescu, P.; Menaldi, J. L.; Rofman, E.; Sulem, A. Another look at Sobolev spaces, Optimal control and partial differential equations (Paris, 2000), IOS Press, Amsterdam (2001), pp. 439-455

3. [BL17] Brasco, L.; Lindgren, E. Higher Sobolev regularity for the fractional p-Laplace equation in the superquadratic case, Adv. Math., Volume 304 (2017), pp. 300-354

4. [Bre11] Brezis, H. Functional analysis, Sobolev spaces and partial differential equations, Springer, New York, Universitext (2011)

5. [BV08] Birindelli, I.; Valdinoci, E. The Ginzburg-Landau equation in the Heisenberg group, Commun. Contemp. Math., Volume 10 (2008) no. 5, pp. 671-719

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1. Fractional De Giorgi Classes and Applications to Nonlocal Regularity Theory;Contemporary Research in Elliptic PDEs and Related Topics;2019

2. Planelike minimizers of nonlocal Ginzburg–Landau energies and fractional perimeters in periodic media;Nonlinearity;2018-05-25

3. Minimizers for nonlocal perimeters of Minkowski type;Calculus of Variations and Partial Differential Equations;2018-03-14

4. Planelike Interfaces in Long-Range Ising Models and Connections with Nonlocal Minimal Surfaces;Journal of Statistical Physics;2017-04-07

5. Nonlocal phase transitions in homogeneous and periodic media;Journal of Fixed Point Theory and Applications;2016-11-05

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