19 citations · 36 across the 22 of their papers we have counts for
36 papers
The Sharp Ellipticity Threshold for -Regularity
Franz Gmeineder
We establish that the ellipticity of the minimal surface integrand is the sharp threshold for -regularity of solutions to the Dirichlet problem on .…
Traces of Sobolev functions and higher integrability
Robert Denk, Franz Gmeineder, Paul Stephan
We give a sharp characterization of how additional integrability in the interior improves the integrability of boundary traces of -Sobolev functions. The optimali…
Non-uniformly elliptic variational problems on BV
Lisa Beck, Franz Gmeineder, Mathias Schäffner
We establish -regularity and higher gradient integrability for relaxed minimizers of convex integral functionals on . Unlike classical examples such…
On the Singular Limit in Hibler's Sea Ice Model
Robert Denk, Franz Gmeineder, Matthias Hieber
We establish the existence of energy-driven solutions to the momentum balance equation in Hibler's sea ice model. As a main novelty and different from previous results, we deal wit…
Curl Measure Fields, the Generalized Stokes Theorem and Vorticity Fluxes
Gui-Qiang G. Chen, Franz Gmeineder, Monica Torres
We introduce and analyze the class of curl-measure fields that are -integrable vector fields whose distributional curl is a vector-valued finite Radon measure…
Rate-form equilibrium for an isotropic Cauchy-elastic formulation: Part I: modeling
Patrizio Neff, Nina J. Husemann, Sebastian Holthausen +2
We derive the rate-form spatial equilibrium system for a nonlinear Cauchy elastic formulation in isotropic finite-strain elasticity. For a given explicit Cauchy stress-strain const…