id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-1193	He, Juhua; Wu, Ke; Zhou, Fen	Existence of nontrivial solutions for biharmonic equations with critical growth	2025	19	.pdf	application/pdf	9619	511	88	Again by (2.6)-(2.11), there exists a small ε1 ∈ (0, ε2) such that I(twε) ≥ t2 2 ∫ R5 (∆wε) 2dx− t2 ∗∗ 2∗∗ ∫ R5 |wε|2 ∗∗ dx− α tp p ∫ R5 |wε|pdx ≥ t2 4 S 5/4 ∗∗ − t2 ∗∗ 2∗∗ S 5/4 ∗∗ − αCε5− p 2 tp 6 J. HE, K. WU, F. ZHOU EJDE-2025/69 for all ε ∈ (0, ε1). Hence, I(tεwε) ≥ max 0≤t≤1 { t 2 4 S 5/4 ∗∗ − t2 ∗∗ 2∗∗ S 5/4 ∗∗ − αCε5− p 2 tp} ≥ η 2 .	cache/ejde-1193.pdf	txt/ejde-1193.txt