On the asymptotic growth of positive solutions to a nonlocal elliptic blow-up system involving strong competition

DOI10.1016/J.ANIHPC.2017.08.004zbMath1393.35042arXiv1604.03264OpenAlexW2963787279MaRDI QIDQ1706722

Susanna Terracini, Stefano Vita

Publication date: 28 March 2018

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03264

zbMATH Keywords

fractional Laplacianentire solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Entire solutions to PDEs (35B08) Higher-order elliptic systems (35J48)

Related Items (5)

On \(s\)-harmonic functions on cones ⋮ Segregated configurations involving the square root of the Laplacian and their free boundaries ⋮ On the nodal set of solutions to degenerate or singular elliptic equations with an application to \(s\)-harmonic functions ⋮ Regularity of shape optimizers for some spectral fractional problems ⋮ On s-harmonic functions on cones

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