6 citations · 14 across the 14 of their papers we have counts for
12 papers · 1 filter
Some lifting and approximation properties for maps in
André Guerra, Xavier Lamy, Konstantinos Zemas
Smooth maps can be lifted to using the Hopf fibration via the factori…
Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant
André Guerra, Xavier Lamy, Konstantinos Zemas
We prove that, modulo rigid motions, the Hopf map is the unique minimizer of the Faddeev--Skyrme energy in its homotopy class, provided that the radius of the target 2-sphere is no…
Derivation of Kirchhoff-type plate theories for elastic materials with voids
Manuel Friedrich, Leonard Kreutz, Konstantinos Zemas
We rigorously derive a Blake-Zisserman-Kirchhoff theory for thin plates with material voids, starting from a three-dimensional model with elastic bulk and interfacial energy featur…
On the existence of degenerate solutions of the two-dimensional -system
André Guerra, Xavier Lamy, Konstantinos Zemas
We consider entire solutions of the -system which we refer to as bubbles. Surprisingly, and contrary to conjectures r…
Energy barriers for boundary nucleation in a two-well model without gauge invariance
Antonio Tribuzio, Konstantinos Zemas
We study energy scaling laws for a simplified, singularly perturbed, double-well nucleation problem confined in a half-space, in the absence of gauge invariance and for an inclusio…
Homogenisation of nonlinear Dirichlet problems in randomly perforated domains under minimal assumptions on the size of perforations
Lucia Scardia, Konstantinos Zemas, Caterina Ida Zeppieri
In this paper we study the convergence of integral functionals with -growth in a randomly perforated domain of , with . Under the assumption that the perfora…
Sharp quantitative stability of the Möbius group among sphere-valued maps in arbitrary dimension
André Guerra, Xavier Lamy, Konstantinos Zemas
In this work we prove a sharp quantitative form of Liouville's theorem, which asserts that, for all , the weakly conformal maps of with degree ar…
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids
Manuel Friedrich, Leonard Kreutz, Konstantinos Zemas
We derive a dimension-reduction limit for a three-dimensional rod with material voids by means of -convergence. Hereby, we generalize the results of the purely elastic setting […
From atomistic systems to linearized continuum models for elastic materials with voids
Manuel Friedrich, Leonard Kreutz, Konstantinos Zemas
We study an atomistic model that describes the microscopic formation of material voids inside elastically stressed solids under an additional curvature regularization at the discre…
Geometric rigidity in variable domains and derivation of linearized models for elastic materials with free surfaces
Manuel Friedrich, Leonard Kreutz, Konstantinos Zemas
We present a quantitative geometric rigidity estimate in dimensions generalizing the celebrated result by Friesecke, James, and Müller to the setting of variable domains. L…
A note on a rigidity estimate for degree conformal maps on
Jonas Hirsch, Konstantinos Zemas
In this note we present a short alternative proof of an estimate obtained by A.B.-Mantel, C.B. Muratov and T.M. Simon in [3] regarding the rigidity of degree {} conformal ma…
Rigidity estimates for isometric and conformal maps from to
Stephan Luckhaus, Konstantinos Zemas
We investigate both linear and nonlinear stability aspects of rigid motions (resp. Möbius transformations) of among Sobolev maps from into $\m…