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)
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