Pseudomonotone Operators, Bifurcation, and the von Kármán Plate Equations

Eberhard Zeidler
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Eberhard Zeidler: Max-Planck-Institut für Mathematik in den Naturwissenschaften

Chapter Chapter 65 in Nonlinear Functional Analysis and its Applications, 1988, pp 322-347 from Springer

Abstract: Abstract In this chapter we consider a plate which is clamped at the boundary. Our method of proof, however, can also be applied to other boundary conditions. We use the following tools: (I) Implicit function theorem (Theorem 4.B). (P) Main theorem about pseudomonotone operators (Theorem 27.A). (B) Main theorem of bifurcation theory for potential operators (Theorem 45.A).

Keywords: Operator Equation; Integrability Condition; Characteristic Number; Bifurcation Theory; Shell Theory (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-1-4612-4566-7_9

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