id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-132	Alves, Maria Jose; Assuncao, Ronaldo B.	Existence of solutions for a problem with multiple singular weighted p-Laplacians and vanishing potentials	2022	25	.pdf	application/pdf	9457	471	81	The Euler-Lagrange energy functional I : E → R associated with problem (1.1) is defined by I(u) := 1 p ∫ RN |∇u|p |x|ap dx+ 1 p ∫ RN P (x)|u|p |x|ap∗(a,b) dx + 1 q ∫ RN |∇u|q |x|cq dx+ 1 q ∫ RN Q(x)|u|q |x|cq∗(c,d) dx− ∫ RN F (u) dx. + 1 q ‖u‖q1,q − c0 θ ∫ RN |u|p∗(a,b) |x|bp∗(a,b) dx− 1 kp ‖u‖p1,p = (1 p − 1 kp ) ‖u‖p1,p	cache/ejde-132.pdf	txt/ejde-132.txt