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math.AP2022
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…
math.AP2022
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…
math.AP2022
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}…
math.AP2022
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…