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20192026
most citedKorn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy

36 citations · 163 across the 21 of their papers we have counts for

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Showing 2024 · math.APShow all

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math.AP2024

Constant rank operators in Korn-Maxwell-Sobolev inequalities

Peter Lewintan, Paul Stephan

We focus on Korn-Maxwell-Sobolev inequalities for operators of reduced constant rank. These inequalities take the form \[ \|P - Π_{\mathbb{B}} Π_{\ker\mathscr{A}} P\|_{\dot{\mathrm…

math.AP2024★ 1 cited

Yet another best approximation isotropic elasticity tensor in plane strain

Jendrik Voss, Panos Gourgiotis, Peter Lewintan +2

For plane strain linear elasticity, given any anisotropic elasticity tensor , we determine a best approximating isotropic counterpart …

math.AP2024

Limiting Korn-Maxwell-Sobolev inequalities for general incompatibilities

Franz Gmeineder, Peter Lewintan, Jean Van Schaftingen

We give sharp conditions for the limiting Korn-Maxwell-Sobolev inequalities \begin{align*} \lVert P\rVert_{\dot{W}{^{k-1,\frac{n}{n-1}}}(\mathbb{R}^n)}\le c\big(\lVert\mathscr{A}[P…