Vincenzo Ambrosio
Abstract:
This article is devoted to the study of the following fractional Kirchhoff
equation
where
is the fractional Laplacian,
is the Kirchhoff term,
is a positive continuous potential and f(x, u)
is only locally defined for |u| small.
By combining a variant of the symmetric Mountain Pass with a Moser iteration
argument, we prove the existence of infinitely many weak solutions converging
to zero in
-norm.
Published September 15, 2018.
Math Subject Classifications: 47G20, 35R11, 35A15, 58E05.
Key Words: Fractional Kirchhoff equation; sublinear nonlinearity;
symmetric mountain pass.
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Vincenzo Ambrosio Dipartimento di Scienze Pure e Applicate (DiSPeA) Università degli Studi di Urbino "Carlo Bo" Piazza della Repubblica, 13 61029 Urbino (Pesaro e Urbino, Italy) email: vincenzo.ambrosio@uniurb.it |
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