Konstantinos Zemas

activity

20242026

collaborators

5 papers

math.AP2026

Some lifting and approximation properties for maps in $W^{1, 2} (B^{3}; S^{2})$

AndrÃ© Guerra, Xavier Lamy, Konstantinos Zemas

Smooth maps $u : B^{3} \to S^{2}$ can be lifted to $u^: B^{3} \to S^{3}$ using the Hopf fibration $h : S^{3} \to S^{2}$ via the factori…

math.OC2026

Atomic Gradient Flows: Gradient Flows on Sparse Representations

Christian Amend, Marcello Carioni, Konstantinos Zemas

One of the most popular approaches for solving total variation-regularized optimization problems in the space of measures are Particle Gradient Flows (PGFs). These restrict the pro…

math.AP2026

Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant

AndrÃ© 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…

math.AP2025

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…

math.AP2024

On the existence of degenerate solutions of the two-dimensional $H$ -system

We consider entire solutions $I ¨ \in H ˙^{1} (R^{2}; R^{3})$ of the $H$ -system $I^ I ¨ = 2 I ¨ _{x} \land I ¨ _{y},$ which we refer to as bubbles. Surprisingly, and contrary to conjectu…