This article is devoted to the study of the following fractional Kirchhoff equation (Formula presented) where (−∆)s is the fractional Laplacian, M: R+ → R+ is the Kirchhoff term, V: RN → R 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 L∞(RN )-norm.
Infinitely many small energy solutions for a fractional Kirchhoff equation involving sublinear nonlinearities
Ambrosio V.
2018-01-01
Abstract
This article is devoted to the study of the following fractional Kirchhoff equation (Formula presented) where (−∆)s is the fractional Laplacian, M: R+ → R+ is the Kirchhoff term, V: RN → R 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 L∞(RN )-norm.File in questo prodotto:
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