27 citations · 173 across the 52 of their papers we have counts for
64 papers
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…
A domain decomposition scheme for couplings between local and nonlocal equations
Gabriel Acosta, Francisco M. Bersetche, Julio D. Rossi
We study a natural alternating method of Schwarz type (domain decomposition) for certain class of couplings between local and nonlocal operators. We show that our method fits into…
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…