Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow

• Published in: Journal of mathematical analysis and applications Vol. 317; no. 2; pp. 456 - 463
• Main Authors: Zhang, Zhitao, Perera, Kanishka
• Format: Journal Article
• Language: English
• Published: San Diego, CA Elsevier Inc 15.05.2006; Elsevier
• Subjects: Calculus of variations and optimal control; Exact sciences and technology; Invariant sets of descent flow; Kirchhoff's equation; Mathematical analysis; Mathematics; Nonlocal problems; Sciences and techniques of general use; Variational methods; Invariant sets of descent flow; Variational methods; Kirchhoff's equation; Nonlocal problems; Elliptic equation; Boundary value problem; Mathematical analysis; Nonlocal problem; Invariant set; Descent flow; Partial differential equation

We obtain sign changing solutions of a class of nonlocal quasilinear elliptic boundary value problems using variational methods and invariant sets of descent flow.