Affiliation:
1. School of Mathematical Sciences Yangzhou University Yangzhou China
2. University of Chinese Academy of Sciences Beijing China
Abstract
This paper is concerned with the multiplicity results to a class of
‐Kirchhoff type elliptic equation with the homogeneous Neumann boundary conditions by the abstract linking lemma due to Brézis and Nirenberg. We obtain the twofold results in subcritical and critical cases, which is a meaningful addition and completeness to the known results about Kirchhoff equation. At the same time, this paper also gives a method to deal with
‐Laplacian, Kirchhoff equation, and some Kirchhoff type equation in a unified variational framework.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics