Marguerre-Von Kármán equations and membrane model

DOI10.1016/0362-546X(94)00226-8zbMath0830.35037OpenAlexW2057500231MaRDI QIDQ4839241

Bopeng Rao

Publication date: 28 January 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00226-8

zbMATH Keywords

existence resultsmembrane modelshallow shell model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elasticity (74B20) Nonlinear elliptic equations (35J60) Membranes (74K15)

Related Items (6)

Existence result for a dynamical equations of generalized Marguerre-von Kármán shallow shells ⋮ On the bifurcation of solutions to Marguerre-von Kármán equations ⋮ Global existence and uniqueness of weak solution to nonlinear viscoelastic full marguerre-von kármán shallow shell equations ⋮ Buckling and postcritical behaviour of the elastic infinite plate strip resting on linear elastic foundation ⋮ Limit behavior of the solution to nonlinear viscoelastic Marguerre-von Kármán shallow shell system ⋮ On the Existence of Solutions to the Generalized Marguerre-von Kármán Equations

Cites Work

• A justification of the Marguerre-von Kármán equations
• Les equations de von Kármán
• A singular perturbation approach to nonlinear shell theory
• Espaces d'interpolation et théorème de Soboleff
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• On the Dirichlet problem for the Marguerre equations
• On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate
• Equivalent Norms for Sobolev Spaces
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