Publications

Preprints

[10] C. Kreisbeck, H. Schönberger
Local boundary conditions in nonlocal hyperelasticity via heterogeneous horizons
Preprint (2025)
arXiv

[9] R. Giorgio, L. Happ, H. Schönberger
Homogenization of nonlocal exchange energies in micromagnetics
Preprint (2025)
arXiv

[8] M. Carioni, L. Del Grande, J. A. Iglesias, H. Schönberger
Nonlocal perimeters and variations: Extremality and decomposability for finite and infinite horizons
Preprint (2025)
arXiv

Published Papers

[7] J. C. Bellido, C. Mora-Corral, H. Schönberger
Nonlocal gradients: Fundamental theorem of calculus, Poincaré inequalities, and embeddings
J. London Math. Soc. 112, 2 (2025)
DOI, arXiv

[6] J. Cueto, C. Kreisbeck, H. Schönberger
Γ-convergence involving nonlocal gradients with varying horizon: Recovery of local and fractional models  
Nonlinear Anal. Real World Appl. 85 (2025)
DOI, arXiv

[5] C. Kreisbeck, H. Schönberger
Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems
Nonlinear Anal. 249 (2024)
DOI, arXiv

[4] H. Schönberger
Extending linear growth functionals to functions of bounded fractional variation
Proc. Roy. Soc. Edinburgh Sect. A 154, 1 (2024)
DOI, arXiv

[3] J. Cueto, C. Kreisbeck, H. Schönberger
A variational theory for integral functionals involving finite-horizon fractional gradients
Frac. Calc. Appl. Anal. 26 (2023)
DOI, arXiv

[2] E. Davoli, R. Ferreira, C. Kreisbeck, H. Schönberger
Structural changes in nonlocal denoising models arising through bi-level parameter learning
Appl. Math. Optim. 88, 9 (2023)
DOI, arXiv

[1] C. Kreisbeck, H. Schönberger
Quasiconvexity in the fractional calculus of variations: Characterization of lower semicontinuity and relaxation
Nonlinear Anal. 215 (2022)
DOI, arXiv

Theses

Nonlocal gradients within variational models: Existence theories and asymptotic analysis
PhD thesis, KU Eichstätt-Ingolstadt (2024)
University repository

Characterization of lower semicontinuity and relaxation of fractional integral and supremal functionals
MSc thesis, Utrecht University (2021)
University repository