526 citations
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Showing 2010 · math.APShow all
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math.AP2010
Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations
Kari Astala, Albert Clop, Daniel Faraco +2
We settle the problem of the uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations . It turns out that the uniquene…
math.AP2010★ 31 cited
On the commutability of homogenization and linearization in finite elasticity
Stefan Müller, Stefan Neukamm
We study non-convex elastic energy functionals associated to (spatially) periodic, frame indifferent energy densities with a single non-degenerate energy well at SO(n). Under the a…
math.AP2010★ 35 cited
Singular kernels, multiscale decomposition of microstructure, and dislocation models
Sergio Conti, Adriana Garroni, Stefan Müller
We consider a model for dislocations in crystals introduced by Koslowski, Cuitiño and Ortiz, which includes elastic interactions via a singular kernel behaving as the nor…