Existence of solutions for the Neumann boundary problem of Kirchhoff type equations.
Resource Type
Journal
Authors
An, Yu-Cheng (PRC-NST-SSC) AMS Author Profile; Suo, Hong-Min (PRC-GZMZ-SSC) AMS Author Profile
Source
Journal of Spectral Theory (J. Spectr. Theory) (20190101), 9, no.~2, 547-568. ISSN: 1664-039X (print).eISSN: 1664-0403.
Subject
35 Partial differential equations -- 35B Qualitative properties of solutions 35B38 Critical points 35 Partial differential equations -- 35D Generalized solutions 35D30 Weak solutions 35 Partial differential equations -- 35J Elliptic equations and systems 35J20 Variational methods for second-order elliptic equations
Language
English
Summary: ``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.''