Some energy estimates for stable solutions to fractional Allen-Cahn equations

DOI10.1007/s00526-020-1701-2zbMath1431.35227arXiv1904.07443OpenAlexW3006136979MaRDI QIDQ2296687

Qinfeng Li, Changfeng Gui

Publication date: 18 February 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.07443

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (6)

Existence and uniqueness of bounded stable solutions to the Peierls-Nabarro model for curved dislocations ⋮ Nonlocal minimal graphs in the plane are generically sticky ⋮ Existence and uniqueness of solutions to the Peierls–Nabarro model in anisotropic media ⋮ Periodic solutions of Allen-Cahn system with the fractional Laplacian ⋮ Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail ⋮ Recent progress on stable and finite Morse index solutions of semilinear elliptic equations

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