Abstract
We suggest a simple but general method of establishing symmetry properties of stable solutions of nonlinear elliptic equations. The method relies on characterization of symmetry breaking with a help of zero modes and on a generalization of the Perron–Frobenius theory.
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Sigal, I.M. Perron–Frobenius Theory and Symmetry of Solutions to Nonlinear PDE's. Letters in Mathematical Physics 53, 313–320 (2000). https://doi.org/10.1023/A:1007622208894
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DOI: https://doi.org/10.1023/A:1007622208894