Unfolding bifurcations of an elliptic boundary value problem

DOI10.1007/BF01161699zbMath0526.35011OpenAlexW2058288540WikidataQ126010630 ScholiaQ126010630MaRDI QIDQ595097

Anthony J. Tromba, Heinz-Otto Peitgen

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173478

zbMATH Keywords

cusp-catastrophetwo parameter familyunfolding bifurcations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Bifurcations in context of PDEs (35B32)

Cites Work

• The cusp catastrophe of Thom in the bifurcation of minimal surfaces
• A sufficient condition for a critical point of a functional to be a minimum and its application to Plateau's problem
• A global genericity theorem for bifurcations in variational problems
• The Morse Lemma in Infinite Dimensions via Singularity Theory
• Global Analysis of Two-Parameter Elliptic Eigenvalue Problems
• On universal unfoldings of certain real functions on a Banach space
• Almost-Riemannian Structures on Banach Manifolds: The Morse Lemma and the Darboux Theorem

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