Abstract
We study the existence of ground states to a nonlinear fractional
Kirchhoff equation with an external potential V . Under suitable assumptions on V , using the monotonicity trick and the profile decomposition, we
prove the existence of ground states. In particular, the nonlinearity does
not satisfy the Ambrosetti–Rabinowitz type condition or monotonicity
assumptions
Lingua originale | English |
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pagine (da-a) | 1-32 |
Numero di pagine | 32 |
Rivista | NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS |
Volume | 24 |
DOI | |
Stato di pubblicazione | Pubblicato - 2017 |
Keywords
- Kirchhoff equations