id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-238	Sourdis, Christos	An asymptotic monotonicity formula for minimizers of elliptic systems of Allen-Cahn type and the Liouville property	2021	10	.pdf	application/pdf	4623	254	73	In light of the recent density estimates of [23], we expect that the assertions of Theorems 1.1 and 1.2 should also remain valid under the complementary set of assumptions that W ∈ C1 satisfies c|u− a|p ≤W (u) ≤ C|u− a|p, u ∈ Rm, m ≥ 1, for some constants c, C > 0, where p ∈ { (2,∞), n = 2,( 2, 2n n−2 ) , n ≥ 3. (2.8) From (2.2), using again that W ∈ C1, there exists a C4 > 0 such that ‖e‖C0,α(Rn;R) ≤ C4.	cache/ejde-238.pdf	txt/ejde-238.txt