Invertibility versus Lagrange equation for traction free energy-minimal deformations

DOI10.1007/s00526-014-0719-8zbMath1327.31004OpenAlexW2039987159WikidataQ110233611 ScholiaQ110233611MaRDI QIDQ2017803

Jani Onninen, Tadeusz Iwaniec

Publication date: 23 March 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-014-0719-8

zbMATH Keywords

calculus of variationsharmonic mappingsDirichlet energymonotone mappings

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (7)

The Dirichlet principle for inner variations ⋮ Analytic characterization of monotone Hopf-harmonics ⋮ The Sobolev Jordan-Schönflies problem ⋮ Bi-Sobolev extensions ⋮ On minimisers of \(L^p\)-mean distortion ⋮ Smoothing Defected Welds and Hairline Cracks ⋮ The Nitsche phenomenon for weighted Dirichlet energy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mappings of least Dirichlet energy and their Hopf differentials
• Limits of Sobolev homeomorphisms
• Existence of energy-minimal diffeomorphisms between doubly connected domains
• Deformations of annuli with smallest mean distortion
• Convexity conditions and existence theorems in nonlinear elasticity
• Limiting vorticities for the Ginzburg-Landau equations.
• Harmonic mappings of multiply connected domains
• Lipschitz regularity for inner-variational equations
• Homeomorphic approximations to monotone mappings
• The topological theory of Frechet surfaces
• On irregular weak solutions of the energy–momentum equations
• Deformations of finite conformal energy: Boundary behavior and limit theorems
• Some Open Problems in Elasticity
• Invertible harmonic mappings, beyond Kneser
• Global invertibility of Sobolev functions and the interpenetration of matter
• Quasiconvexity and uniqueness of stationary points in the multi-dimensional calculus of variations
• The Topology of (Path) Surfaces
• The Hopf-Laplace equation: harmonicity and regularity
• 𝑛-Harmonic Mappings Between Annuli: The Art of Integrating Free Lagrangians
• Monotone Sobolev mappings of planar domains and surfaces

This page was built for publication: Invertibility versus Lagrange equation for traction free energy-minimal deformations