id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-171	Baroni, Paolo; Coscia, Alessandra	Gradient regularity for non-autonomous functionals with Dini or non-Dini continuous coefficients	2022	30	.pdf	application/pdf	13378	663	77	In particular, when p ≥ 2, |z1 − z2|p ≤ c|Vp(z1)− Vp(z2)|2 holds, while for 1 < p ≤ 2 (see [38, Lemma 2]) we will use that |z1 − z2| ≤ c ∣∣Vp(z1)− Vp(z2) ∣∣2/p + c|z1|(2−p)/2 ∣∣Vp(z1)− Vp(z2) ∣∣ (2.24) EJDE-2022/80 REGULARITY FOR DOUBLE PHASE FUNCTIONALS 9 both for a suitable constant c ≡ c(p). |z2|)|z1 − z2|2 ≤ ∣∣Vϕ(z1)− Vϕ(z2) ∣∣2 ≤ cϕ′′(|z1|+	cache/ejde-171.pdf	txt/ejde-171.txt