Solutions of the fractional Allen–Cahn equation which are invariant under screw motion

DOI10.1112/jlms/jdw033zbMath1348.35293arXiv1509.00786OpenAlexW2196785428MaRDI QIDQ2822149

Eleonora Cinti, Juan Dávila, Manuel A. del Pino

Publication date: 27 September 2016

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.00786

zbMATH Keywords

fractional Laplacianfractional Allen-Cahn equation in \(\mathbb{R}^3\)helicoids are surfaces with vanishing non-local mean curvaturesolutions vanishing on helicoids invariance under screw motion

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Entire solutions to PDEs (35B08)

Related Items (11)

Unnamed Item ⋮ Convex sets evolving by volume-preserving fractional mean curvature flows ⋮ Spiraling solutions of nonlinear Schrödinger equations ⋮ Saddle-shaped solutions for the fractional Allen-Cahn equation ⋮ On the growth of nonlocal catenoids ⋮ Regularity results for nonlocal minimal surfaces ⋮ Near-sphere lattices with constant nonlocal mean curvature ⋮ On the behavior of positive solutions of semilinear elliptic equations in asymptotically cylindrical domains ⋮ Solutions for fractional Schrödinger equation involving critical exponent via local Pohozaev identities ⋮ Interacting helical vortex filaments in the three-dimensional Ginzburg-Landau equation ⋮ (Dis)connectedness of nonlocal minimal surfaces in a cylinder and a stickiness property

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