3 papers
math.AP2020
An elementary note about the G-convergence for a type of nonlocal p-laplacian operator
Julio Muñoz
Simple applications of a principle of minimum energy and the property of monotonicity for the corresponding non-local operator, have allowed a direct proof of the G-compactness in…
math.AP2020
Local and nonlocal optimal control in the source
Julio Muñoz
The analysis of an optimal control problem of nonlocal type is analyzed. The results obtained are applied to the study the corresponding local optimal control problems. The state e…
math.AP2019
Generalized Ponce's inequality
Julio Muñoz
This note provides the generalization of a remarkable inequality by A. C. Ponce whose consequences are essential in several fields, as Characterization of Sobolev Spaces or Nonloca…