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- W3103023314 abstract "We consider a geometrically fully nonlinear variational model for thin elastic sheets that contain a single disclination. The free elastic energy contains the thickness $h$ as a small parameter. We give an improvement of a recently proved energy scaling law, removing the next-to leading order terms in the lower bound. Then we prove the convergence of (almost-)minimizers of the free elastic energy towards the shape of a radially symmetric cone, up to Euclidean motions, weakly in the spaces $W^{2,2}(B_1setminus B_rho;mathbb{R}^3)$ for every $0<rho<1$, as the thickness $h$ is sent to 0." @default.
- W3103023314 created "2020-11-23" @default.
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- W3103023314 date "2018-04-11" @default.
- W3103023314 modified "2023-09-23" @default.
- W3103023314 title "The shape of low energy configurations of a thin elastic sheet with a single disclination" @default.
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- W3103023314 doi "https://doi.org/10.2140/apde.2018.11.1285" @default.
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