On the bifurcation of solutions to Marguerre-von Kármán equations

Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Bifurcation and buckling (74G60) Shells (74K25) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Existence result for a dynamical equations of generalized Marguerre-von Kármán shallow shells
Generic and nongeneric bifurcation for the von Kármán equations
From the classical to the generalized von Kármán and Marguerre--von Kármán equations
Description of the solution set of the von Kármán equations for a circular plate in a small neighbourhood of a simple bifurcation point
A justification of the Marguerre-von Kármán equations
Les equations de von Kármán
On the numerical analysis of the Von Kármán equations: Mixed finite element approximation and continuation techniques
Nonlinear eigenvalue problems governed by a variational inequality of von Karman's type: A degree theoretic approach
The necessary and sufficient condition for bifurcation in the von Kármán equations
Bifurcation theory. An introduction with applications of PDEs
Application of topological degree to the study of bifurcation in von Kármán equations
On the multiplicity of solutions to Marguerre--von Kármán membrane equations
New analytical method based on dynamic response of planar mechanical elastic systems
On the study of variational inequality of generalized Marguerre-von Kármán's type via Leray-Schauder degree
Équations et inéquations non linéaires dans les espaces vectoriels en dualité
Boundary Conditions and Mode Jumping in the von Kármán Equations
Von Karman Evolution Equations
Multiple Bifurcation in the von Kármán Equations
Marguerre-Von Kármán equations and membrane model
Asymptotic Analysis of Frictional Contact Problem for Piezoelectric Shallow Shell
Asymptotic justification of dynamical equations for generalized Marguerre–von Kármán anisotropic shallow shells
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
Nonlinear problems of elasticity
Nonlinear functional analysis. A first course
Asymptotic justification of equations for von Kármán membrane shells
Justification and solvability of dynamical contact problems for generalized Marguerre–von Kármán shallow shells