id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-180	Xie, Zheng; Chen, Jing	Multiplicity of solutions for a generalized Kadomtsev-Petviashvili equation with potential in R^2	2023	17	.pdf	application/pdf	7278	449	82	• for x ∈ R2 and r > 0, Br(x) := {y ∈ R2 : |y − x| < r}. In view of (A4), (A5), (A7), and (A10), it is easy to deduce that g is a Carathéodory function and satisfying the following properties: (A11) g(x, y, t) ≤ δt+ f(t) for any t ≥ 0 and δ ≥ 0; (A12) limt→0 g(x,y,t) t = 0 uniformly in (x, y) ∈ R2; (A13) 0 < 2G(x, y, t)	cache/ejde-180.pdf	txt/ejde-180.txt