27 citations · 173 across the 52 of their papers we have counts for
58 papers · 1 filter
Gradient constraints, Born-Infeld, and maximal surfaces via superposition of infinitely many -Laplacians
Haydar Abdel Hamid, Juan Carlos Chata Ortiz, Francesco Petitta +1
We study the Dirichlet problem for an infinite series of -Laplacians, where $\{a_{p}\}…
Regularity properties for dead core problems and their asymptotic limit as
João Vítor da Silva, Julio Rossi, Ariel Salort
We study regularity issues and the limiting behavior as of nonnegative solutions for elliptic equations of Laplacian type () with a strong absorp…
The best approximation of a given function in -norm by Lipschitz functions with gradient constraint
Stefano Buccheri, Tommaso Leonori, Julio D. Rossi
The starting point of this paper is the study of the asymptotic behavior, as , of the following minimization problem $$ \min\left\{\frac1{p}\int|\nabla v|^{p}+\frac12\i…
A bridge between convexity and quasiconvexity
Pablo Blanc, Mikko Parviainen, Julio Rossi
We introduce a notion of convexity with respect to a one-dimensional operator and with this notion find a one-parameter family of different convexities that interpolates between cl…
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…