Sufficient conditions for regularity of area-preserving deformations

DOI10.1007/s00229-011-0500-7zbMath1241.35197OpenAlexW1997159636MaRDI QIDQ431151

Aram L. Karakhanyan

Publication date: 26 June 2012

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-011-0500-7

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elasticity (74B20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (6)

On a class of stationary loops on \(\mathbf{SO}(n)\) and the existence of multiple twisting solutions to a nonlinear elliptic system subject to a hard incompressibility constraint ⋮ A uniqueness criterion and a counterexample to regularity in an incompressible variational problem ⋮ Regularity for energy-minimizing area-preserving deformations ⋮ Energy minimizing \(N\)-covering maps in two dimensions ⋮ On double-covering stationary points of a constrained Dirichlet energy ⋮ Energy minimisers with prescribed Jacobian

Cites Work

• On derivation of Euler-Lagrange equations for incompressible energy-minimizers
• Regularity properties of deformations with finite energy
• Differentiation of integrals in \(\mathbb{R}^n\)
• Convexity conditions and existence theorems in nonlinear elasticity
• Elliptic partial differential equations of second order
• Maximal functions: A proof of a conjecture of A. Zygmund
• Note on the class LlogL
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