27 citations · 173 across the 52 of their papers we have counts for
6 papers · 1 filter
The -eigenvalue problem with a sign-changing weight
Uriel Kaufmann, Julio D. Rossi, Joana Terra
Let be a smooth bounded domain and be a sign-changing weight function. For , consider the eigenvalue problem $$ \left\{ \b…
Games for Pucci's maximal operators
Pablo Blanc, Juan J. Manfredi, Julio D Rossi
In this paper we introduce a game whose value functions converge (as a parameter that measures the size of the steps goes to zero) uniformly to solutions to the second order Pucci…
An optimization problem with volume constraint with applications to optimal mass transport
Joao Vitor da Silva, Leandro M. Del Pezzo, Julio D. Rossi
In this manuscript we study the following optimization problem with volume constraint: \[ \min\left\{\frac{1}{p}\int_Ω |\nabla v|^pdx- \int_{\partial Ω} gv\,dS \colon v \in W^{1, p…
Nonlocal problems in perforated domains
Marcone C. Pereira, Julio D. Rossi
In this paper we analyze nonlocal equations in perforated domains. We consider nonlocal problems of the form with in a perforated doma…
Eigenvalues for a combination between local and nonlocal Laplacians
Leandro M. Del Pezzo, Raul Ferreira, Julio Rossi
In this paper we study the Dirichlet eigenvalue problem Here i…
Games for eigenvalues of the Hessian and concave/convex envelopes
Pablo Blanc, Julio D. Rossi
We study the PDE , in , with , on . Here are the ordered eigenvalues of the Hessian . First, we sh…