G. Dolzmann

activity

20092026

most citedOn the theory of relaxation in nonlinear elasticity with constraints on the determinant

40 citations · 96 across the 11 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.AP2026

A frame-indifferent rank-one convex function in three dimensions which is not quasiconvex

Sergio Conti, Georg Dolzmann, Patrick Dondl

We construct a function $W : R^{3 \times 3} \to R$ which is frame-indifferent, $W (QF) = W (F)$ for all $Q \in SO (3)$ , rank-one convex, but not quasiconvex. In a nei…

math.AP2026

Uniform $W^{2, m}$ approximation of almost isometric maps

Sergio Conti, Georg Dolzmann, Stefan Müller

This paper shows that an almost-isometric Sobolev map from a Lipschitz subset of an oriented manifold $M$ into another oriented manifold $N$ can be approximated by a map of class $…

math.AP2026

Local Well-Posedness of a Model for Stress-Driven Growth in the Presence of Nutrients

Helmut Abels, Julian Blawid, Georg Dolzmann

A model for morphoelastic growth, that is, growth influenced by elastic stress, driven by the absorption of nutrients is considered. The model features a multiplicative decompositi…

A frame-indifferent rank-one convex function in three dimensions which is not quasiconvex

Uniform W2,m approximation of almost isometric maps

Local Well-Posedness of a Model for Stress-Driven Growth in the Presence of Nutrients

Uniform $W^{2, m}$ approximation of almost isometric maps