A singular perturbation approach to nonlinear shell theory

DOI10.1216/RMJ-1981-11-1-75zbMath0468.73075MaRDI QIDQ1156534

Gerhard Rupprecht

Publication date: 1981

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

external loadstable stateexistence of true solutiongently sloping shellMarguerre's system of nonlinear fourth order partial differential equationsminimum of functional near approximate solutionnontrivial formally approximate solution

Mathematics Subject Classification ID

Variational inequalities (49J40) Singular perturbations in context of PDEs (35B25) Nonlinear elasticity (74B20) Shells (74K25) Membranes (74K15)

Related Items (5)

A justification of the Marguerre-von Kármán equations ⋮ Marguerre-Von Kármán equations and membrane model ⋮ On the multiplicity of solutions to Marguerre--von Kármán membrane equations ⋮ On the Existence of Solutions to the Generalized Marguerre-von Kármán Equations ⋮ On the Dirichlet problem for the Marguerre equations

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