id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-700	Mennuni, Federica; Salvatore, Addolorata	Radial bounded solutions for modified Schrodinger equations	2024	30	.pdf	application/pdf	11675	582	83	[a(x, un,∇un) · ∇un +At(x, un,∇un)un] dx + ∫ B+ k,n k un a(x, un,∇un) · ∇un dx+ ∫ B+ k,n |un|p−2un(un − k) dx − ∫ B+ k,n g(x, un)R + k un dx ≥ α1 ∫ B+ k,n a(x, un,∇un) · ∇un dx− ∫ B+ k,n g(x, un)R + k un dx. Hence, from the previous inequalities, (A5) and (A6) it follows that α0α1 η0 ∫ B+ k,n |∇un|p dx ≤ ⟨dJ (un), R + k un⟩+ ∫ B+ k,n g(x, un)R + k un dx.	cache/ejde-700.pdf	txt/ejde-700.txt