id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-471	Soriano Hernandez, Lorena; Siciliano, Gaetano	Existence and asymptotic behavior of solutions to eigenvalue problems for Schrodinger-Bopp-Podolsky equations	2023	18	.pdf	application/pdf	7654	400	79	We study the existence and multiplicity of solutions for the Schrödinger-Bopp-Podolsky system −∆u+ φu = ωu in Ω a2∆2φ−∆φ = u2 in Ω u = φ = ∆φ = 0 on ∂Ω∫ Ω u2 dx = 1 where Ω is an open bounded and smooth domain in R3, a > 0 is the Bopp- Podolsky parameter. × H is a weak solution of (1.1) if∫ Ω ∇ua∇v dx+ ∫ Ω φauav dx = ωa ∫ Ω uav dx for all v ∈ H1 0 (Ω) (1.2) and a2 ∫ Ω ∆φa∆v dx+ ∫ Ω ∇φa∇v dx	cache/ejde-471.pdf	txt/ejde-471.txt