Peter Lewintan

activity

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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math.AP2022★ 7 cited

Korn-Maxwell-Sobolev inequalities for general incompatibilities

Franz Gmeineder, Peter Lewintan, Patrizio Neff

We establish a family of coercive Korn-type inequalities for generalised incompatible fields in the superlinear growth regime under sharp criteria. This extends and unifies several…

math.AP2022★ 19 cited

Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions

Franz Gmeineder, Peter Lewintan, Patrizio Neff

We characterise all linear maps $A : R^{n \times n} \to R^{n \times n}$ such that, for $1 \leq p < n$ , \begin{align*} \|P\|_{L^{p^{*}}(\mathbb{R}^{n})}\leq…