... u)dx.Proof of Theorem 2.1 By (F0), we know that f(x, 0) = 0, an d hence u( x)=0isasolution of (1.1).To complete the proof we prove the following lemmas.Lemma 3.1 Any bounded (PS) sequence of ... Positive solutions for a quasilinear elliptic equation of Kirchhoff type. Comput MathAppl. 49(1), 85–93 (2005). doi:10.1016/j.camwa.2005.01.0083. Ma, TF, Rivera, JEM: Positive solutions for a nonlinear ... equation of p-Kirchhoff type via variational methods. Bull Austral Math Soc.74, 263–277 (2006). doi:10.1017/S000497270003570X5. Perera, K, Zhang, ZT: Nontrivial solutions of Kirchhoff-type...