Saddle-shaped solutions of bistable elliptic equations involving the half-Laplacian

DOI10.2422/2036-2145.201107_002zbMath1283.35042arXiv1107.2306OpenAlexW1551806580MaRDI QIDQ2864587

Eleonora Cinti

Publication date: 25 November 2013

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.2306

zbMATH Keywords

supersolutionasymptotic behaviour at infinitybounded saddle solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Entire solutions to PDEs (35B08)

Related Items (5)

Semilinear integro-differential equations. II: One-dimensional and saddle-shaped solutions to the Allen-Cahn equation ⋮ Saddle-shaped solutions for the fractional Allen-Cahn equation ⋮ Uniqueness and stability of the saddle-shaped solution to the fractional Allen-Cahn equation ⋮ Semilinear integro-differential equations. I. Odd solutions with respect to the Simons cone ⋮ Solutions of the fractional Allen–Cahn equation which are invariant under screw motion

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