André Guerra

activity

20232026

collaborators

Showing 2026Show all

4 papers · 1 filter

math.AP2026

Minimizing tangent maps into complex projective space

Matilde Gianocca, André Guerra, David Ziener

We classify all nonconstant smooth harmonic maps $S^{2} \to CP^{n}$ and $S^{3} \to CP^{n}$ whose 0-homogeneous extensions are minimizing: they are, respec…

math.AP2026

A singular minimizer of a smooth strongly polyconvex functional in two dimensions

André Guerra, Riccardo Tione

We construct a Lipschitz, non- $C^{1}$ map $u : R^{2} \to R^{6}$ which is the unique global minimizer of a smooth, strongly polyconvex functional. Such an example is…

math.AP2026

Stationary points of conformally invariant polyconvex energies

André Guerra, Riccardo Tione

We consider polyconvex integrands that are conformally invariant and frame indifferent. In two dimensions, we prove that the corresponding stationary points are smooth outside a di…

math.AP2026

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

André 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…

Minimizing tangent maps into complex projective space

A singular minimizer of a smooth strongly polyconvex functional in two dimensions

Stationary points of conformally invariant polyconvex energies

Some lifting and approximation properties for maps in W1,2(B3;S2)

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