We are interested in a general Choquard equation [Formula presented] under suitable assumptions on the bounded potential V and on the nonlinearity f. Our analysis extends recent results by the second and third author on the problem with μ=0 and pure-power nonlinearity f(x,u)=|u|p−2u. We show that, under appropriate assumptions on the potential, whether the ground state does exist or not. Finally, we study the asymptotic behaviour of ground states as μ→0+.
Bernini, F., Bieganowski, B., Secchi, S. (2022). Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree–Fock theory. NONLINEAR ANALYSIS, 217(April 2022) [10.1016/j.na.2021.112738].
Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree–Fock theory
Bernini F.
;Secchi S.
2022
Abstract
We are interested in a general Choquard equation [Formula presented] under suitable assumptions on the bounded potential V and on the nonlinearity f. Our analysis extends recent results by the second and third author on the problem with μ=0 and pure-power nonlinearity f(x,u)=|u|p−2u. We show that, under appropriate assumptions on the potential, whether the ground state does exist or not. Finally, we study the asymptotic behaviour of ground states as μ→0+.
| File | Dimensione | Formato | |
|---|---|---|---|
|
Bernini F., Bieganowski B., Secchi S. - Semirelativistic Choquard equations with singular potential and general nonlinearities arising from Hartree-Fock theory .pdf
Solo gestori archivio
Tipologia di allegato:
Publisher’s Version (Version of Record, VoR)
Dimensione
886.67 kB
Formato
Adobe PDF
|
886.67 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
