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Mathematics (1)

expanding annuli

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli
Part of
- Elliptic equations and systems
Zongming Guo, Linfeng Mei, Zhitao Zhang
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 147 / Issue 6 / December 2017

Published online by Cambridge University Press:

14 August 2017, pp. 1215-1232

Print publication:

December 2017
- Article
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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.