On a long range segregation model
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Publication:1687381
DOI10.4171/JEMS/747zbMath1386.35084arXiv1505.05433OpenAlexW2964044609MaRDI QIDQ1687381
Luis A. Caffarelli, Stefania Patrizi, Veronica Quitalo
Publication date: 29 December 2017
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.05433
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35)
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Non-variational weakly coupled elliptic systems ⋮ Free boundary problems with long-range interactions: uniform Lipschitz estimates in the radius ⋮ Global minimizers of coexistence for strongly competing systems involving the square root of the Laplacian ⋮ An anisotropic monotonicity formula, with applications to some segregation problems ⋮ Uniqueness result for long range spatially segregation elliptic system ⋮ Regularity results for segregated configurations involving fractional Laplacian ⋮ Variational problems with long-range interaction ⋮ Persistence and time periodic positive solutions of doubly nonlocal Fisher-KPP equations in time periodic and space heterogeneous media
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