Neohookean deformations of annuli in the higher dimensional Euclidean space

DOI10.1016/j.na.2019.111575zbMath1427.31002arXiv1903.02291OpenAlexW2964615560MaRDI QIDQ2278486

David Kalaj, Jian-Feng Zhu

Publication date: 5 December 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02291

zbMATH Keywords

minimizersannuliNitsche phenomenon

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Degenerate elliptic equations (35J70) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Second-order elliptic equations (35J15) Quasiconformal mappings in the complex plane (30C62)

Related Items (1)

The existence of minimizers of energy for diffeomorphisms between two-dimensional annuli in \(\mathbb{R}^2\) and \(\mathbb{R}^3\)

Cites Work

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• Energy-minimal diffeomorphisms between doubly connected Riemann surfaces
• Existence of energy-minimal diffeomorphisms between doubly connected domains
• Deformations of annuli with smallest mean distortion
• Neohookean deformations of annuli, existence, uniqueness and radial symmetry
• Total energy of radial mappings
• \((n,\rho)\)-harmonic mappings and energy minimal deformations between annuli
• Deformations of annuli on Riemann surfaces and the generalization of Nitsche conjecture
• The Nitsche conjecture
• 𝑛-Harmonic Mappings Between Annuli: The Art of Integrating Free Lagrangians

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