Meng, FengjuanZhang, FubaoZhang, Yuanyuan2021-09-232021-09-232020-05-19Meng, F., Zhang, F., & Zhang, Y. (2020). Multiple positive solutions for biharmonic equation of Kirchhoff type involving concave-convex nonlinearities. <i>Electronic Journal of Differential Equations, 2020</i>(44), pp. 1-15.1072-6691https://hdl.handle.net/10877/14550In this article, we study the multiplicity of positive solutions for the biharmonic equation of Kirchhoff type involving concave-convex nonlinearities, ∆2u - (α + b ∫ℝN |∇u|2dx) ∆u + V(x)u = λƒ1(x)|u|q-2 u + ƒ2(x)|u|p-2u. Using the Nehari manifold, Ekeland variational principle, and the theory of Lagrange multipliers, we prove that there are at least two positive solutions, one of which is a positive ground state solution.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalBiharmonic equationGround state solutionNehari manifoldConcave-convex nonlinearityArticle