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+.
Articolo in rivista - Articolo scientifico
Choquard equation; Fractional operators; Hartree–Fock theory; Sign-changing nonlinearities;
English
24-dic-2021
2022
217
April 2022
112738
reserved
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/346842
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