id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-313	Jleli, Mohamed; Samet, Bessem	Nonexistence results for hyperbolic type inequalities involving the Grushin operator in exterior domains	2021	26	.pdf	application/pdf	10494	616	87	−1 p−1 dx ) ≤ C ( R −2θp p−1 R2θ lnR+R −θp p−1Rθ ( p−2 p−1 ) (lnR) −1 p−1 ) ≤ CR −2θ p−1 lnR. 12 M. JLELI, B. SAMET EJDE-2021/75 For N1 ≥ 3 and Rθ < |x| < 2Rθ, proceeding as above, and using Lemma 3.3, we obtain b −1 p−1 |∆xb| p p−1 ≤ C ( R −2θp p−1 ( 1− |x|2−N1 ) Hence, for 1 < p < N1 N1−2 , taking 0 < 2σ < 2p p−1 − N1 and passing to the limit as R → ∞ in the above inequality, we obtain a contradiction with ∫ ∂D1 g(y)dσy > 0.	cache/ejde-313.pdf	txt/ejde-313.txt