A condition for the Hölder regularity of local minimizers of a nonlinear elastic energy in two dimensions

DOI10.1007/S00205-017-1104-5zbMath1367.35167arXiv1509.08245OpenAlexW3124225669WikidataQ59614127 ScholiaQ59614127MaRDI QIDQ529851

Jonathan J. Bevan

Publication date: 9 June 2017

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

Full work available at URL: https://arxiv.org/abs/1509.08245

zbMATH Keywords

minimizersnonlinear elasticityHölder regularitytwo-dimensional elastic bodies

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) PDEs in connection with mechanics of deformable solids (35Q74) Integro-partial differential equations (35R09)

Related Items (8)

Local boundedness of vectorial minimizers of non-convex functionals ⋮ Polyconvex functionals and maximum principle ⋮ Energy minimizing \(N\)-covering maps in two dimensions ⋮ A boundedness result for minimizers of some polyconvex integrals ⋮ Estimates for minimizers of some relaxed polyconvex functionals ⋮ Finding nicer mappings with lower or equal energy in nonlinear elasticity ⋮ Regularity for minimizers with positive Jacobian ⋮ An estimate concerning the difference between minimizer and boundary value in some polyconvex problems

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