Unilateral eigenvalue problems for nonlinearly elastic plates: An approach via pseudo-monotone operators

DOI10.1007/BF02484188zbMath0952.35080MaRDI QIDQ1567588

Liliana Gratie

Publication date: 11 January 2001

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

abstract variational inequalitiestopological \(S\)-degreevon Karman's equations

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Contact in solid mechanics (74M15) Plates (74K20) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (3)

From the classical to the generalized von Kármán and Marguerre--von Kármán equations ⋮ Solutions of the von Kàrmàn equations via the non-variational Galerkin-B-spline approach ⋮ Generalized von Kármán equations.

Cites Work

• Modelling and control in solid mechanics
• Global bifurcation in variational inequalities: applications to obstacle and unilateral problems
• Nonlinear eigenvalue problems governed by a variational inequality of von Karman's type: A degree theoretic approach
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Degree of mapping for nonlinear mappings of monotone type
• On the topological degree for mappings of monotone type
• Unilateral eigenvalue problems for nonlinearly elastic plates and pseudo-monotone operators
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