Journal
ANNALI DI MATEMATICA PURA ED APPLICATA
Volume 192, Issue 4, Pages 673-718Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s10231-011-0243-9
Keywords
Phase transitions; Nonlocal energy; Gagliardo norm; Fractional Laplacian
Categories
Funding
- Istituto Nazionale di Alta Matematica F. Severi (Indam)
- ERC [207573, 277749]
- National Science Foundation (NSF) [0701037]
- FIRB
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0701037] Funding Source: National Science Foundation
Ask authors/readers for more resources
We study existence, uniqueness, and other geometric properties of the minimizers of the energy functional where denotes the total contribution from Omega in the H (s) norm of u and W is a double-well potential. We also deal with the solutions of the related fractional elliptic Allen-Cahn equation on the entire space . The results collected here will also be useful for forthcoming papers, where the second and the third author will study the I-convergence and the density estimates for level sets of minimizers.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
