id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-92	Sabina de Lis, Jose C.	Remarks on the second Neumann eigenvalue	2022	12	.pdf	application/pdf	5072	319	78	In the first one, X = Ω is a bounded set of Rn, endowed with the measure dµ = m(x)dx where m ∈ L1(Ω), m(x) > 0 if 1 < p < N, > 1 if p = N, = 1 if p > N. We define λ̂(m) = inf u∈M0\{0} ∫ Ω |∇u|p dx∫ Ω |u|pmdx , (3.1) with M0 = {u ∈ W 1,p(Ω) : ∫ Ω |u|p−2umdx = 0}.	cache/ejde-92.pdf	txt/ejde-92.txt