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arXiv · 1902.00457

Radial and cylindrical symmetry of solutions to the Cahn-Hilliard equation

Matteo Rizzi
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Abstract

The paper is devoted to the classification of entire solutions to the Cahn-Hilliard equation $-Δu = u-u^3-δ$ in $\R^N$, with particular interest in those solutions whose nodal set is either bounded or contained in a cylinder. The aim is to prove either radial or cylindrical symmetry, under suitable hypothesis.

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Matteo Rizzi. 2019-02-01. Radial and cylindrical symmetry of solutions to the Cahn-Hilliard equation. https://arxiv.org/abs/1902.00457

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