In this work we study the following fractional scalar field equation (Formula Presented) where N ≥ 2, s ϵ (0, 1), (-Δ)s is the fractional Laplacian and the nonlinearity g ϵ C2 (ℝ) is such that g"(0) = 0. By using variational methods, we prove the existence of a positive solution which is spherically symmetric and decreasing in r = |x|.
Zero mass case for a fractional Berestycki-Lions-type problem / Ambrosio, V.. - In: ADVANCES IN NONLINEAR ANALYSIS. - ISSN 2191-9496. - 7:3(2018), pp. 365-374. [10.1515/anona-2016-0153]
Zero mass case for a fractional Berestycki-Lions-type problem
Ambrosio V.
2018-01-01
Abstract
In this work we study the following fractional scalar field equation (Formula Presented) where N ≥ 2, s ϵ (0, 1), (-Δ)s is the fractional Laplacian and the nonlinearity g ϵ C2 (ℝ) is such that g"(0) = 0. By using variational methods, we prove the existence of a positive solution which is spherically symmetric and decreasing in r = |x|.File in questo prodotto:
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