Stefan Krömer

activity

20102023

most citedA weak-strong convergence property and symmetry of minimizers of constrained variational problems in

R^{N}

2 citations · 7 across the 12 of their papers we have counts for

collaborators

12 papers

math.AP2023

A new example for the Lavrentiev phenomenon in Nonlinear Elasticity

Stefano Almi, Stefan Krömer, Anastasia Molchanova

We present a new example for the Lavrentiev phenomenon in context of nonlinear elasticity, caused by an interplay of the elastic energy's resistance to infinite compression and the…

math.AP2023

Surface penalization of self-interpenetration in linear and nonlinear elasticity

Stefan Krömer, Jan Valdman

We analyze a term penalizing surface self-penetration, as a soft constraint for models of hyperelastic materials to approximate the Ciarlet-Nečas condition (almost everywhere globa…

math.AP2022

Asymptotic analysis of single-slip crystal plasticity in the limit of vanishing thickness and rigid elasticity

Dominik Engl, Stefan Krömer, Martin Kružík

We perform via $Γ$ -convergence a 2d-1d dimension reduction analysis of a single-slip elastoplastic body in large deformations. Rigid plastic and elastoplastic regimes are considere…

math.AP2022

Nonlinear elasticity with vanishing nonlocal self-repulsion

Stefan Krömer, Philipp Reiter

We prove that that for nonlinear elastic energies with strong enough energetic control of the outer distortion of admissible deformations, almost everywhere global invertibility as…

math.AP2018

Global injectivity in second-gradient Nonlinear Elasticity and its approximation with penalty terms

Stefan Krömer, Jan Valdman

We present a new penalty term approximating the Ciarlet-Nečas condition (global invertibility of deformations) as a soft constraint for hyperelastic materials. For non-simple mater…

math.AP2017

Weak lower semicontinuity by means of anisotropic parametrized measures

Agnieszka Kałamajska, Stefan Krömer, Martin Kružík

It is well known that besides oscillations, sequences bounded only in $L^{1}$ can also develop concentrations, and if the latter occurs, we can at most hope for weak $^{*}$ convergence…

math.AP2016★ 1 cited

Generalized $W^{1, 1}$ -Young measures and relaxation of problems with linear growth

Margarida Baia, Stefan Krömer, Martin Kružík

We completely characterize generalized Young measures generated by sequences of gradients of maps from $W^{1, 1} (Ω; R^{M})$ where $Ω \subset R^{N}$ . This extends and completes previous a…

math.AP2014★ 2 cited

Boundary effects and weak $^{*}$ lower semicontinuity for signed integral functionals on $BV$

Barbora Benešová, Stefan Krömer, Martin Kružík

We characterize lower semicontinuity of integral functionals with respect to weak $^{*}$ convergence in $BV$ , including integrands whose negative part has linear growth. In a…

math.AP2014

$A$ -quasiconvexity and weak lower semicontinuity of integral functionals

Jan Krämer, Stefan Krömer, Martin Kružík +1

We state necessary and sufficient conditions for weak lower semicontinuity of $u \mapsto \int_{Ω} h (x, u (x)) d x$ where $∣ h (x, s) ∣ \leq C (1 + ∣ s ∣^{p})$ is continuous and possesses a recession…

math.AP2011★ 1 cited

Oscillations and concentrations up to the boundary

Stefan Krömer, Martin Kružík

Oscillations and concentrations in sequences of gradients ${\nabla u_{k}}$ , bounded in $L^{p} (Ω; R^{M \times N})$ if $p > 1$ and $Ω \subset R^{n}$ is a bounded domain with the extension pr…

math.AP2010★ 2 cited

A weak-strong convergence property and symmetry of minimizers of constrained variational problems in $R^{N}$

Hichem Hajaiej, Stefan Krömer

We prove a weak-strong convergence result for functionals of the form $\int_{R^{N}} j (x, u, D u) d x$ on $W^{1, p}$ , along equiintegrable sequences. We will then use it to stu…

math.AP2010★ 1 cited

Dimension reduction for functionals on solenoidal vector fields