Wang, FangleiAvci, MustafaAn, Yukun2024-04-242024-04-2420140022-247X1096-0813https://doi.org/10.1016/j.jmaa.2013.07.003https://hdl.handle.net/11468/15671This paper is concerned with the existence of nontrivial solutions for a class of fourth order elliptic equations of Kirchhoff type {Delta 2u - lambda (a + b integral(Omega)vertical bar del u vertical bar(2)dx) Delta u = f(x, u), in Omega, u = 0, Delta u = 0, on partial derivative Omega, where a > 0, b >= 0 are constants, and lambda > 0 is a parameter. We will show that there exists a lambda* such that (1) has nontrivial solutions for 0 < lambda < lambda* by using the mountain pass techniques and the truncation method. (C) 2013 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/openAccessFourth Order Elliptic EquationNontrivial SolutionsMountain Pass TheoremTruncation MethodArticle4091140146WOS:0003249747000122-s2.0-8488345418510.1016/j.jmaa.2013.07.003Q2Q1