Alberto Saldaña

collaborators

3 papers

math.AP2024

A strong unique continuation property for weakly coupled elliptic systems

MÃ³nica Clapp, VÃctor HernÃ¡ndez-SantamarÃa, Alberto SaldaÃ±a

We establish the validity of a strong unique continuation property for weakly coupled elliptic systems, including competitive ones. Our proof exploits the system structure and uses…

math.AP2024

Optimal pinwheel partitions for the Yamabe equation

MÃ³nica Clapp, Jorge Faya, Alberto SaldaÃ±a

We establish the existence of an optimal partition for the Yamabe equation in the whole space made up of mutually linearly isometric sets, each of them invariant under the action o…

math.AP2024

Optimal boundary regularity and a Hopf-type lemma for Dirichlet problems involving the logarithmic Laplacian

VÃctor HernÃ¡ndez-SantamarÃa, Luis Fernando LÃ³pez RÃos, Alberto SaldaÃ±a

We study the optimal boundary regularity of solutions to Dirichlet problems involving the logarithmic Laplacian. Our proofs are based on the construction of suitable barriers via t…