id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-544	Yang, Lu; Liu, Xiangqing; Zhou, Jianwen	Concentration of nodal solutions for semiclassical quadratic Choquard equations	2023	20	.pdf	application/pdf	8015	509	91	j,ε,p|1 ≤ j ≤ k} such that Γ(λ) ε,p (u (λ) j,ε,p) = cj(ε, p, λ) ≤ c̃k, By Corollary 4.3, we have p− 1 2 ∫ R3 ( 1 | · | ∗ (|un,p|p))|un,p|p−2ϕ2 dx ≤ m∑ i=1 c ∫ R3 ( 1 | · | ∗ e−c|x−yn,i|)ϕ2 dx and p 2 ∫ R3 ( 1 | · | ∗ (|un,p|p−2un,pϕ))|un,p|p−2un,pϕdx ≤ m∑ i=1 c ∫ R3 ( 1 | · | ∗ (e−c|x−yn,i|ϕ) ) e−c|x−yn,i|ϕdx + m∑ i 6=j c ∫ R3 ( 1 | · | ∗ (e−c|x−yn,j |ϕ) ) e−c|x−yn,i|ϕdx ≤ m∑ i=1 c ∫ R3 ( 1 | · | ∗ (e−c|x−yn,i|ϕ) ) e−c|x−yn,i|ϕdx+ o(1)	cache/ejde-544.pdf	txt/ejde-544.txt