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EnglishThis 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.
| Titolo: | Infinitely many small energy solutions for a fractional Kirchhoff equation involving sublinear nonlinearities |
| Autori: | AMBROSIO, Vincenzo (Corresponding) |
| Data di pubblicazione: | 2018 |
| Rivista: | |
| 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. |
| Handle: | http://hdl.handle.net/11566/278514 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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