Preprints
- On the Lavrentiev gap for convex, vectorial integral functionals.
with Lukas Koch and Matthias Ruf
submitted (arXiv)
- New homogenization results for convex integral functionals and their Euler-Lagrange equations.
with Matthias Ruf
submitted (arXiv)
- Stochastic homogenization and geometric singularities : a study on corners.
with Marc Josien and Claudia Raithel
submitted (arXiv)
- Quantitative stochastic homogenization of nonlinearly elastic, random laminates.
with Stefan Neukamm and Mario Varga
submitted (arXiv)
- Mechanical behaviour of heterogeneous nanochains in the Gamma-limit of stochastic particle systems.
with Laura Lauerbach, Stefan Neukamm and Anja Schlömerkemper
submitted (arXiv)
published/accepted Articles
- A radiation box domain truncation scheme for the wave equation.
with Ben Schweizer and Yohanes Tjandrawidjaja
IMA Journal of Numerical Analysis., in press (Journal)
- Local boundedness for p-Laplacian with degenerate coefficients.
with Peter Bella
Math. Eng., 5 (2023), no 5. (Journal)
- Lipschitz bounds for integral functionals with (p,q)-growth conditions.
with Peter Bella
Adv. Calc. Var., in press (arXiv) (Journal)
- Domain truncation methods for the wave equation in a homogenization limit.
with Ben Schweizer and Yohanes Tjandrawidjaja
Appl. Anal. 101 (2022), no. 12, 4149--4170. (preprint) (Journal)
- Non-uniformly parabolic equations and applications to the random conductance model.
with Peter Bella
Probab. Theory Related Fields. 182 (2022), no. 1-2, 353--397. (arXiv) (Journal)
- Higher integrability for variational integrals with non-standard growth.
Calc. Var. Partial Differential Equations 60 77 (2021) (arXiv) (Journal)
- Growth conditions and regularity, an optimal local boundedness result.
together with Jonas Hirsch
Commun. Contemp. Math. 23, no. 3, 2050029 (2021). (arXiv) (Journal)
- Local boundedness and Harnack inequality for solutions of linear non-uniformly elliptic equations.
together with Peter Bella
Comm. Pure Appl. Math. 74 (2021), no. 3, 453--477. (arXiv) ( Journal)
- Derivation of a homogenized bending--torsion theory for rods with micro-heterogeneous prestrain.
together with Robert Bauer and Stefan Neukamm
J. Elast. 141, 109-145 2020. (arXiv) (Journal)
- On the regularity of minimizers for scalar integral functionals with (p,q)-growth.
together with Peter Bella
Analysis and PDE 13 2020, no. 7, 2241-2257. (arXiv) (Journal)
- Quenched invariance principle for random walks among random degenerate conductances.
together with Peter Bella
Ann. Probab. 48 (2020), no. 1, 296-316. (arXiv) (Journal)
- Lipschitz estimates and existence of
correctors for nonlinearly elastic, periodic composites subject to small
strains.
together with Stefan Neukamm
Calc. Var. Partial Differential Equations 58 (2019), no. 2, Art. 46, 51 pp. (arXiv) (Journal)
- Quantitative homogenization in nonlinear elasticity for small loads.
together with Stefan Neukamm
Arch. Ration. Mech. Anal. 230 (2018), no. 1, 343-396. (arXiv) (Journal)
- On continuum limits of herogeneous discrete systems modelling cracks in composite materials.
together with Laura Lauerbach and Anja Schlömerkemper
GAMM-Mitt. 40 (2018), no. 3, 178-200. (Journal)
- On Lennard-Jones systems with finite range interactions and their asymptotic analysis.
together with Anja Schlömerkemper
Netw. Heterog. Media 13 (2018), no. 1, 95-118. (arXiv) (Journal)
- Stochastic homogenization of nonconvex discrete energies with degenerate growth.
together with Stefan Neukamm and Anja Schlömerkemper
SIAM J. Math. Anal. 49 (2017), no. 3, 1761-1809. (arXiv) ( Journal)
- Plates with Incompatible Prestrain.
together with Kaushik Bhattacharya and Marta Lewicka
Arch. Ration. Mech. Anal. 221 (2016), no. 1, 143-181. (arXiv) Journal)
- On a Gamma-convergence analysis of a quasicontinuum method.
together with Anja Schlömerkemper
Multiscale Model. Simul. 13 (2015), no. 1, 132-172. (arXiv) (Journal)