Journal of Spectral Theory
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Published online: 2018-10-24
Existence of solutions for the Neumann boundary problem of Kirchhoff type equationsYu-Cheng An and Hong-Min Suo (1) Nanjing University of Science and Technology, China
(2) Guizhou Minzu University, Guiyang, China
The existence of weak solutions is obtained for some Kirchhoff type equations with Neumann boundary conditions by using the $G$-linking theorem in the critical point theory.
Keywords: Nonlinear eigenvalues, Kirchhoff type equation, variational methods, $G$-linking theorem, existence of solutions
An Yu-Cheng, Suo Hong-Min: Existence of solutions for the Neumann boundary problem of Kirchhoff type equations. J. Spectr. Theory 9 (2019), 547-568. doi: 10.4171/JST/255