We analyze the following doubly nonlocal nonlinear elliptic problem: (Formula presented.) where N≥2, s∈(0,1), ω>0, (-Δ)s denotes the fractional Laplacian, Iα is the Riesz potential of order α∈(0,N), and F:R→R is a C1-nonlinearity of Berestycki-Lions type, exhibiting subcritical or critical growth in the sense of the Hardy-Littlewood-Sobolev inequality. By employing suitable variational techniques, we investigate the existence and qualitative properties of least energy solutions.
Remarks on the nonlinear fractional Choquard equation / Ambrosio, V.. - In: FRACTIONAL CALCULUS & APPLIED ANALYSIS. - ISSN 1311-0454. - 28:5(2025), pp. 2241-2301. [10.1007/s13540-025-00435-z]
Remarks on the nonlinear fractional Choquard equation
Ambrosio V.
2025-01-01
Abstract
We analyze the following doubly nonlocal nonlinear elliptic problem: (Formula presented.) where N≥2, s∈(0,1), ω>0, (-Δ)s denotes the fractional Laplacian, Iα is the Riesz potential of order α∈(0,N), and F:R→R is a C1-nonlinearity of Berestycki-Lions type, exhibiting subcritical or critical growth in the sense of the Hardy-Littlewood-Sobolev inequality. By employing suitable variational techniques, we investigate the existence and qualitative properties of least energy solutions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
