André Guerra

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math.AP2026

Stationary points of conformally invariant polyconvex energies

AndrÃ© 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 $W^{1, 2} (B^{3}; S^{2})$

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.AP2025

Constancy of the index for gradient mappings

We show that if the Hessian of a $C^{1, 1}$ function has uniformly positive determinant almost everywhere then its index is locally constant, as conjectured by Å verÃ¡k in 1992. We…

Stationary points of conformally invariant polyconvex energies

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

Constancy of the index for gradient mappings

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