A polyconvex integrand; Euler-Lagrange equations and uniqueness of equilibrium

DOI10.1007/s00205-014-0754-9zbMath1297.35009OpenAlexW2162440050MaRDI QIDQ742795

Wilfrid Gangbo, Romeo Awi

Publication date: 19 September 2014

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

Full work available at URL: https://doi.org/10.1007/s00205-014-0754-9

zbMATH Keywords

Ogden materialstored energy functionals

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Well-posedness and regularity for a polyconvex energy ⋮ Euler-Lagrange equation for a minimization problem over monotone transport maps ⋮ On the uniqueness of minimizers for a class of variational problems with polyconvex integrand ⋮ Hidden Convexity in a Problem of Nonlinear Elasticity

Cites Work

• An Aronsson type approach to extremal quasiconformal mappings
• Convex analysis and measurable multifunctions
• Polar factorization and monotone rearrangement of vector‐valued functions
• Uniqueness of Equilibrium Configurations in Solid Crystals
• L ∞-Extremal Mappings in AMLE and Teichmüller Theory
• Convex Analysis
• Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids
• Direct methods in the calculus of variations
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