1 citations · 1 across the 6 of their papers we have counts for
6 papers
New regularity and uniqueness results in the multidimensional Calculus of Variations
Marcel Dengler
In the first part of this doctoral thesis we develop a regularity theory for a polyconvex functional in compressible elasticity. In the second part, we will concentrate on uniquene…
(High frequency)-uniqueness criteria for p-growth functionals in in- and compressible elasticity
Marcel Dengler
In this work our main objective is to establish various (high frequency-) uniqueness criteria. Initially, we consider Dirichlet type functionals on a suitable class of measure…
Variational problems in thin elastic structures
Marcel Dengler
For two different scenarios regarding thin elastic structures, described by 2d-Föppl-von Kármán plate models, we obtain energy scaling laws. Firstly, assuming the reference geometr…
On the assembly of stationary points of a polyconvex functional and finite BOP-theory
Marcel Dengler
In this work the following energy is considered where denotes the unit ball, $u\in W^{1,2}…
Everywhere regularity results for a polyconvex functional in finite elasticity
Marcel Dengler
Here we develop a regularity theory for a polyconvex functional in dimensional compressible finite elasticity. In particular, we consider energy minimizers/stationary po…
A uniqueness criterion and a counterexample to regularity in an incompressible variational problem
Marcel Dengler, Jonathan J. Bevan
In this paper we consider the problem of minimizing functionals of the form in a suitably prepared class of incompressible, planar maps $u: B \righ…