id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-866	Souza Filho, Antonio de Padua Farias de	Quasilinear biharmonic equations on R^4 with exponential subcritical growth	2024	16	.pdf	application/pdf	6053	309	81	If J ∈ C1(X,R) satisfies the condition (PS) and Cm(J, 0) ̸= Cm(J,∞) for some m ∈ N, then J has a nonzero critical point. Suppose J ∈ C1(X,R) has a local linking at 0 with respect to the decomposition X = X− ⊕ X+, i.e., for some ε > 0, J(u) ≤ 0 foru ∈ X− ∩Bε, J(u) > 0 foru ∈ (X+ \ {0})	cache/ejde-866.pdf	txt/ejde-866.txt