Symmetry Breaking Bifurcation of Membranes with Boundary (2206.10971v1)

Published 22 Jun 2022 in math.DG and math.AP

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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