Radial symmetry of minimizers to the weighted Dirichlet energy
From MaRDI portal
Publication:4965409
DOI10.1017/prm.2020.8zbMath1464.35114arXiv1904.08213OpenAlexW3008639583WikidataQ109931485 ScholiaQ109931485MaRDI QIDQ4965409
Publication date: 1 March 2021
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.08213
Nonlinear elliptic equations (35J60) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lectures on mappings of finite distortion
- Limits of Sobolev homeomorphisms
- On J. C. C. Nitsche type inequality for annuli on Riemann surfaces
- Doubly connected minimal surfaces and extremal harmonic mappings
- The Nitsche phenomenon for weighted Dirichlet energy
- Deformations of annuli with smallest mean distortion
- Neohookean deformations of annuli, existence, uniqueness and radial symmetry
- Hyperelastic deformations of smallest total energy
- Radially symmetric cavitation for hyperelastic materials
- Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
- The \(p\)-energy minimality of \(x/| x|\)
- Null Lagrangians, weak continuity, and variational problems of arbitrary order
- Convexity conditions and existence theorems in nonlinear elasticity
- Total energy of radial mappings
- Radial symmetry of \(p\)-harmonic minimizers
- An existence theory for nonlinear elasticity that allows for cavitation
- A note on extremal mappings of finite distortion
- The null set of the Euler-Lagrange operator
- Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity
- Regularity of the inverse of a planar Sobolev homeomorphism
- Some geometrical properties of functions and mappings with generalized derivatives
- Deformations with smallest weighted Lp average distortion and Nitsche-type phenomena
- Hopf Differentials and Smoothing Sobolev Homeomorphisms
- Some Open Problems in Elasticity
- Deformations of annuli on Riemann surfaces and the generalization of Nitsche conjecture
- Higher integrability of determinants and weak convergence in L1.
- Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
- Minimizing p-harmonic maps into spheres.
- Existence and nonexistence results on the radially symmetric cavitation problem
- The Topology of (Path) Surfaces
- The Nitsche conjecture
- 𝑛-Harmonic Mappings Between Annuli: The Art of Integrating Free Lagrangians
- Extremal mappings of finite distortion
- On the minimality of the \(p\)-harmonic map \(\frac{x}{|x|}:B^n\to S^{n-1}\)
- Monotone Sobolev mappings of planar domains and surfaces
This page was built for publication: Radial symmetry of minimizers to the weighted Dirichlet energy
