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  • Periodic solutions for a fractional asymptotically linear problem
    Ambrosio, Vincenzo, 1986- ; Molica Bisci, Giovanni, 1975-
    We study the existence and multiplicity of periodic weak solutions for a non-local equation involving an odd subcritical nonlinearity which is asymptotically linear at infinity. We investigate such ... problem by applying the pseudo-index theory developed by Bartolo, Benci and Fortunato [Bartolo, P., Benci, V. and Fortunato, D.. Abstract critical point theorems and applications to some nonlinear problems with "strong" resonance at infinity. Nonlinear Anal. 7 (1983), 981-1012] after transforming the problem to a degenerate elliptic problem in a half-cylinder with a Neumann boundary condition, via a Caffarelli-Silvestre type extension in periodic setting. The periodic nonlocal case, considered here, presents, respect to the cases studied in the literature, some new additional difficulties and a careful analysis of the fractional spaces involved is necessary.
    Vir: Proceedings. Section A, Mathematics. - ISSN 0308-2105 (Vol. 149, iss. 3, June 2019, str. 593-615)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2019
    Jezik - angleški
    COBISS.SI-ID - 18659673

    Povezava(-e):

    https://doi.org/10.1017/prm.2018.44
    DOI

vir: Proceedings. Section A, Mathematics. - ISSN 0308-2105 (Vol. 149, iss. 3, June 2019, str. 593-615)
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