Preprints
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64Local asymptotics and optimal control for a viscous Cahn-Hilliard-reaction-diffusion model for tumor growthSubmitted, 2023 (preprint)
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63Long time behavior of a porous medium model with degenerate hysteresisSubmitted, 2023 (preprint)
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62Homogenization of supremal functionals in vectorial setting (via power-law approximation)Submitted, 2023 (preprint)
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61A coupled rate-dependent/rate-independent system for adhesive contact in Kirchhoff-Love platesSubmitted, 2023 (preprint)
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60Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmionsSubmitted, 2023 (preprint)
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59Dyadic partition-based training schemes for TV/TGV denoisingSubmitted, 2023 (preprint)
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58A modular Poincaré-Wirtinger type inequality on Lipschitz domains for Sobolev spaces with variable exponentsSubmitted, 2023 (preprint)
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57Generalized bounded deformation in non-Euclidean settingsSubmitted, 2023 (preprint)
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56Degenerate diffusion with Preisach hysteresisSubmitted, 2023 (preprint)
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55Sharp conditions for the validity of the Bourgain-Brezis-Mironescu formulaSubmitted, 2023 (preprint)
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54A general criterion for jump set slicing and applicationsSubmitted, 2023 (preprint)
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53Effective quasistatic evolution models for perfectly plastic plates with periodic microstructureSubmitted, 2022 (preprint)
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52Rectifiability of a class of integralgeometric measures and applicationsSubmitted, 2022 (preprint)
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51Homogenization of high-contrast media in finite-strain elastoplasticitySubmitted, 2022 (preprint)
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50A homogenization result in finite plasticitySubmitted, 2022 (preprint)
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49A new proof of compactness in G(S)BDSubmitted, 2021 (preprint)
Published and accepted papers of the group since 2019
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48A new example for the Lavrentiev phenomenon in Nonlinear ElasticityZeitschrift für Angewandte Mathematik und Physik (ZAMP) (2023), to appear. (preprint)
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47A necessary condition for extremality of solutions to autonomous obstacle problems with general growth (link)Nonlinear Analysis: Real World Applications, 76 (2023), 104005 (preprint)
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46Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: the limiting regimesAdv. Calc. Var. (2023), to appear. (preprint)
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45Quasistatic evolution in magnetoelasticity under subcritical coercivity assumptions (link)Calc. Var. 62 (2023), no. 7, Article no. 181. (preprint)
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44Structural changes in nonlocal denoising models arising through bi-level parameter learning (link)Applied Mathematics and Optimization 88 (2023), Art. 9 (preprint)
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43Homogenization of discrete thin structures (link)Nonlinear Analysis (2022), to appear
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42Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture (link)J. Math. Pure Appl. (preprint)
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41A model for lime consolidation of porous solids (link)Nonlinear Anal. Real World Appl., 65 (2022), 103483
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40Phase transitions in porous media (link)Nonlinear Differential Equations and Applications NoDEA, 29 (2022), 72 (preprint)
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39Bilevel training schemes in imaging for total-variation-type functionals with convex integrands (link)SIAM Journal on Imaging Sciences Vol. 15, Iss. 4 (2022) (preprint)
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38Existence results for a morphoelastic model (link)ZAMM- Zeitschrift für Angewandte Mathematik und Mechanik (2022), to appear.
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37A reduced model for plates arising as low energy $\Gamma$-limit in nonlinear magnetoelasticity (link)SIAM J. Math. Anal. 55 (2023), no. 4, 3108-3168 (preprint)
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36Spectral optimization of inhomogeneous plates (link)SIAM Journal on Control and Optimization (SICON) 61 (2023), 852-871 (preprint)
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35Homogenization of high-contrast composites under differential constraints (link)Advances in Calculus of Variations (2022). (preprint)
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34Existence results in large-strain magnetoelasticity (link)Ann. Inst. H. Poincare Anal. Nonlineaire 40 (2023),no. 3, 557-592 (preprint)
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33Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction (link)Math. Models Methods Appl. Sci. 32 (2022), 911-939.
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32Two-well linearization for solid-solid phase transitionsJEMS (2022), to appear (preprint)
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31Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme (link)Journal of Nonlinear Science 33 (2023), Art.41 (preprint)
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30Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous modelsAnn. Inst. H. Poincaré Anal. Non Linéaire (2022), to appear. (preprint)
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29Quantitative stability for eigenvalues of Schrödinger operator, Quantitative bathtub principle & Application to the turnpike property for a bilinear optimal control problem (link)SIAM Journal on Mathematical Analysis 54 (2022), 3848--3883. (preprint)
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28On static and evolutionary homogenization in crystal plasticity for stratified composites (link)In: Research in the Mathematics of Materials Science. Springer AWM series (2022), to appear (preprint)
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27Equilibria of charged hyperelastic solids (link)SIAM Journal of Mathematical Analysis 54 (2022), 1470--1487 (preprint)
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26Quantitative estimates for parabolic optimal control problems under $L^{\infty}$ and $L^1$ constraints in the ball: Quantifying parabolic isoperimetric inequalities (link)Nonlinear Analysis 215 (2022), 112649
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25Shape optimization of a weighted two phase Dirichlet eigenvalue (link)Archive for Rational Mechanics and Analysis 243 (2022), 95 – 137
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24Separately global solutions to rate-independent processes in large-strain inelasticity (link)Nonlinear Analysis 215 (2022), 112668
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23An extended variational theory for nonlinear evolution equations via modular spaces (link)SIAM J. Math. Anal., 53(4) (2021), 4865 – 4907
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22Regularity of the inverse mapping in Banach function spaces (link)Mathematische Nachrichten 294(12) (2021), 2382 – 2395
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21Linearized von Kármán theory for incompressible magnetoelastic plates (link)M3AS 31(10) (2021), 1987 – 2037
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20Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: Two-scale expansions and symmetrisations (link)Nonlinearity 34 (2021), 7510
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19A fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in logistic diffusive models (link)SIAM journal on Applied Mathematics 81(1) (2021), 153 – 172
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18Local asymptotics for nonlocal convective Cahn-Hilliard equations with $W^{1,1}$ kernel and singular potential (link)Journal of Differential Equations 289 (2021), 35 – 58
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17A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains (link)Mathematics and Mechanics of Solids 26(10) (2021), 1483 – 1497
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16Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms (link)Archive for Rational Mechanics and Analysis 239(1) (2021), 117 – 149
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15On grand Sobolev spaces and pointwise description of Banach function spaces (link)Nonlinear Analysis 202 (2021), 112100
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14Magnetoelastic thin films at large strains (link)Continuum Mechanics and Thermodynamics 33 (2021), 327 – 341
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13Injectivity almost everywhere for weak limits of Sobolev homeomorphisms (link)J. Funct. Anal. 279(7) (2020)
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12Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate (link)Comm. PDEs (2021), to appear
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11Homogenization in BV of a model for layered composites in finite crystal plasticity (link)Adv. Calc. Var. 14(3) (2021), 441 – 473
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10On the convergence rate of some nonlocal energies (link)Nonlinear Analysis 200 (2020)
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9Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions (link)Calc. Var. Partial Differential Equations 59(44) (2020)
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8Homogenization of chiral magnetic materials - A mathematical evidence of Dzyaloshinskii's predictions on helical structures (link)Journal of Nonlinear Science 30 (2020), 1229 – 1262
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7Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity (link)Calc. Var. Partial Differential Equations 59:17 (2020)
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6Derivation of a heteroepitaxial thin-film model (link)Interfaces and Free Boundaries 22 (2020), 1 – 26
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5Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics (link)Ann. Inst. H. Poincaré Anal. Non Linéaire 37 (2020), 627 – 651
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4Analytical validation of the Young-Dupré law for epitaxially-strained thin films (link)Math. Models Methods Appl. Sci. 29(12) (2019), 2183 – 2223
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3Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films (link)Nonlinear Differential Equations and Applications (NoDEA) 26(36) (2019)
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2Dynamic perfect plasticity and damage in viscoelastic solids (link)ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik 99 (2019), e201800161
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1Dynamic perfect plasticity as convex minimization (link)SIAM Journal on Mathematical Analysis 52 (2019), 672 – 730