27 citations · 173 across the 52 of their papers we have counts for
8 papers · 1 filter
Coupling local and nonlocal equations with Neumann boundary conditions
Gabriel Acosta, Francisco Bersetche, Julio Rossi
We introduce two different ways of coupling local and nonlocal equations with Neumann boundary conditions in such a way that the resulting model is naturally associated with an ene…
Systems involving mean value formulas on trees
Alfredo Miranda, Carolina A. Mosquera, Julio D. Rossi
In this paper we study the Dirichlet problem for systems of mean value equations on a regular tree. We deal both with the directed case (the equations verified by the components of…
The limit as for the Laplacian equation with dynamical boundary conditions
Eylem Öztürk, Julio D. Rossi
In this paper we study the limit as in the evolution problem driven by the Laplacian with dynamical boundary conditions. We prove that the natural energy function…
Asymptotic Mean-Value Formulas for Solutions of General Second-Order Elliptic Equations
Pablo Blanc, Fernando Charro, Juan J. Manfredi +1
We obtain asymptotic mean-value formulas for solutions of second-order elliptic equations. Our approach is very flexible and allows us to consider several families of operators obt…
Local and nonlocal energy-based coupling models
Gabriel Acosta, Francisco M. Bersetche, Julio D. Rossi
In this paper we study two different ways of coupling a local operator with a nonlocal one in such a way that the resulting equation is related to an energy functional. In the firs…
A game theoretical approximation for a parabolic/elliptic system with different operators
Alfredo Miranda, Julio D. Rossi
In this paper we find viscosity solutions to a coupled system composed by two equations, the first one is parabolic and driven by the infinity Laplacian while the second one is ell…