Boundary partial regularity for minimizers of discontinuous quasiconvex integrals with general growth

J Ok, G Scilla, B Stroffolini - arXiv preprint arXiv:2108.11796, 2021 - arxiv.org
We prove the partial H\" older continuity on boundary points for minimizers of quasiconvex
non-degenerate functionals\begin {equation*}\mathcal {F}({\bf u})\colon=\int_ {\Omega} f …

Isotropic -harmonic systems in 2D Jacobian estimates and univalent solutions

T Iwaniec, A Koski, J Onninen - Revista Matematica Iberoamericana, 2016 - ems.press
Isotropic p -harmonic systems in 2D Jacobian estimates and univalent solutions Page 1 Rev.
Mat. Iberoam. 32 (2016), no. 1, 57–77 doi 10.4171/rmi/881 c European Mathematical Society …

[PDF][PDF] Boundary partial Holder regularity for elliptic systems with non-standard growth

J Ok - 2018 - digital.library.txstate.edu
We investigate regular points on the boundaries of elliptic systems with non-standard
growth, in particular, so-called Orlicz growth. A regular point on the boundary in this paper is …