Minimax Theory and its Applications 07 (2022), No. 2, 321--338
Copyright Heldermann Verlag 2022
Positive Bound States to Nonlinear Choquard Equations in the Presence of Nonsymmetric Potentials
Liliane Maia
Dep. de Matemática, Universidade de Brasília, Brazil
lilimaia@unb.br
Benedetta Pellacci
Dip. di Matematica e Fisica, Universitŕ della Campania "Luigi Vanvitelli", Caserta, Italy
benedetta.pellacci@unicampania.it
Delia Schiera
Dip. di Matematica e Fisica, Universitŕ della Campania "Luigi Vanvitelli", Caserta, Italy
delia.schiera@unicampania.it
The existence of a positive solution to a class of Choquard equations with potential going at a positive limit at infinity possibly from above or oscillating is proved. Our results include the physical case and do not require any symmetry assumptions on the potential.
Keywords: Choquard equations, nonlocal nonlinearities, positive solutions.
MSC: 45K05, 35Q55, 35J91, 35J20.
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