id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3762	Najafov, Alik Malik; Alekberli, Sain T	On Solvability of p- harmonic Type Equations in Grand Sobolev Spaces	2020	8	.pdf	application/pdf	2473	196	83	[6, 17, 23]) Denote by W 1 p)(G) the grand Sobolev space of locally summable functions u on G having the weak partial derivatives D1 xiu (i = 1, 2, . . A weak solution for the problem (3)-(4) on G is a function u (x) ∈W 1 p) (G) , if u−ϕ ∈ ◦ W 1 p)(G) such that n∑ i=1 ∫ G |∇u|p−q uxi ϑxi dx = n∑ i=1 ∫ G f ϑxi dx, (5) for every ϑ ∈ ◦ W 1 p)(G).	cache/ejpam-3762.pdf	txt/ejpam-3762.txt