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Morse indices and symmetry breaking for the gelfand equation in expanding annuli

Discrete and Continuous Dynamical Systems - Series B (2017) 22(4) 1509-1523
DOI: 10.3934/dcdsb.2017072
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Abstract

Bifurcation of nonradial solutions from radial solutions of u = eu (0.1) in expanding annuli of RN with 3 N 9 is studied. To obtain the main results, we use a blow-up argument via Morse indices of the regular entire solutions of (0.1).

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Mei, L., & Guo, Z. (2017). Morse indices and symmetry breaking for the gelfand equation in expanding annuli. Discrete and Continuous Dynamical Systems - Series B, 22(4), 1509–1523. https://doi.org/10.3934/dcdsb.2017072

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