Equivariant Bifurcation in Geometric Variational Problems

DOI10.1007/978-3-319-04214-5_6zbMath1321.58010arXiv1308.3268OpenAlexW1512021831MaRDI QIDQ5261433

Renato G. Bettiol, Paolo Piccione, Gaetano Siciliano

Publication date: 3 July 2015

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3268

zbMATH Keywords

bifurcationsymmetry breakingimplicit function theoremsliceconstant mean curvature hypersurfacesaffine mapsBanach vector bundlesgeometric variational problem

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Group actions and symmetry properties (58D19) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07) Infinite-dimensional manifolds (46T05)

Related Items (7)

Bifurcation and local rigidity of constant second mean curvature hypersurfaces in Riemannian warped products ⋮ On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes ⋮ Full Laplace spectrum of distance spheres in symmetric spaces of rank one ⋮ Harmonically free group actions and equivariant bifurcation in the Yamabe problem ⋮ Local rigidity, bifurcation, and stability of \(H_f\)-hypersurfaces in weighted Killing warped products ⋮ Parameterized splitting theorems and bifurcations for potential operators. I: Abstract theory ⋮ Parameterized splitting theorems and bifurcations for potential operators. II: Applications to quasi-linear elliptic equations and systems

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