On nonuniqueness of solutions of the von Kármán equations

DOI10.1007/BF00255747zbMath0188.57603OpenAlexW2091651356MaRDI QIDQ2537446

D. Sather, George H. Knightly

Publication date: 1970

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00255747

zbMATH Keywords

mechanics of solids

Related Items

Inhomogeneous boundary value problems for the von Kármán equations. I, Nonlinear buckled states of rectangular plates, Modeling suspension bridges through the von Kármán quasilinear plate equations, Lösungsverzweigung bei einer Klasse nichtlinearer Gleichungen, Applications of generic bifurcation. I, Symmetric perturbations of nonlinear equations: Symmetry of small solutions, Applications of generic bifurcation. II, Gestörte Verzweigung bei Potentialoperatoren, Generic bifurcation and symmetry with an application to the Von Kármán equations, Qualitative methods in bifurcation theory, Branching of solutions of an equation in Hilbert space, Nonlinear gradient operators and the method of Lyapunov-Schmidt, Existence and nonuniqueness of axisymmetric equilibrium states of nonlinarly elastic shells, Unnamed Item, On a numerical Lyapunov-Schmidt method for operator equations, An existence theorem for the v. Kármán equations under the condition of free boundary

Cites Work

• Unnamed Item
• An existence theorem for the von Kármán equations
• Branching of solutions of an equation in Hilbert space
• On von Karman’s equations and the buckling of a thin elastic plate
• On nonlinear perturbations of the eigenvalues of a compact self-adjoint operator
• On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate
• Von Kármán's equations and the buckling of a thin elastic plate, II plate with general edge conditions
• THE METHODS OF LYAPUNOV AND SCHMIDT IN THE THEORY OF NON-LINEAR EQUATIONS AND THEIR FURTHER DEVELOPMENT