33 citations · 57 across the 4 of their papers we have counts for
5 papers
On the emergence of dead cores in elliptic systems with sublinear competitive interactions
Hugo Tavares, Gianmaria Verzini, Junwei Yu
In this paper, we study semilinear elliptic systems with sublinear coupling terms, showing that, under competition-type interactions, solutions typically have dead cores, i.e., the…
Spectral minimal partitions of unbounded domains
Matthias Hofmann, James B. Kennedy, Hugo Tavares
We study the problem of constructing -spectral minimal partitions of domains in dimensions, where the energy functional to be minimized is a -norm ()…
Topics in elliptic problems: from semilinear equations to shape optimization
Hugo Tavares
In this paper, which corresponds to an updated version of the author's Habilitation lecture in Mathematics, we do an overview of several topics in elliptic problems. We review some…
Extremality conditions and regularity of solutions to optimal partition problems involving Laplacian eigenvalues
Miguel Ramos, Hugo Tavares, Susanna Terracini
Let be an open bounded domain and . Given , we consider a wide class of optimal partition problems involving…
Uniform Hölder bounds for nonlinear Schrödinger systems with strong competition
Benedetta Noris, Hugo Tavares, Susanna Terracini +1
For the positive solutions of the competitive Gross-Pitaevskii system of two equations, we prove that L^\infty boundedness implies uniform Hölder boundedness as the competition par…