Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-25T18:18:19.006Z Has data issue: false hasContentIssue false

Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli

Published online by Cambridge University Press:  14 August 2017

Zongming Guo
Affiliation:
Department of Mathematics, Henan Normal University, Xinxiang 453007, People's Republic of China ([email protected]; [email protected])
Linfeng Mei
Affiliation:
Department of Mathematics, Henan Normal University, Xinxiang 453007, People's Republic of China ([email protected]; [email protected])
Zhitao Zhang
Affiliation:
Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People's Republic of China ([email protected])

Extract

Bifurcation of non-radial solutions from radial solutions of a semilinear elliptic equation with negative exponent in expanding annuli of ℝ2 is studied. To obtain the main results, we use a blow-up argument via the Morse index of the regular entire solutions of the equation

The main results of this paper can be seen as applications of the results obtained recently for finite Morse index solutions of the equation

with N ⩾ 2 and p > 0.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)