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- W3126422877 abstract "We are interested in a general Choquard equation −Δ+m2u−mu+V(x)u−μ|x|u=∫RNF(y,u(y))|x−y|N−αdyf(x,u)−K(x)|u|q−2u 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+." @default.
- W3126422877 created "2021-02-15" @default.
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- W3126422877 date "2022-04-01" @default.
- W3126422877 modified "2023-10-17" @default.
- W3126422877 title "Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree–Fock theory" @default.
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- W3126422877 doi "https://doi.org/10.1016/j.na.2021.112738" @default.
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