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arXiv · 2206.10971

Symmetry Breaking Bifurcation of Membranes with Boundary

Bennett Palmer·Alvaro Pampano
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Abstract

We use a bifurcation theory due to Crandall and Rabinowitz to show the existence of a symmetry breaking bifurcation of a specific one parameter family of axially symmetric disc type solutions of a membrane equation with fixed boundary. In place of working directly with the fourth order membrane equation, it is replaced by a second order reduction found in [16].

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Bennett Palmer, Alvaro Pampano. 2022-06-22. Symmetry Breaking Bifurcation of Membranes with Boundary. https://arxiv.org/abs/2206.10971

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