3 papers
math.AP2025
Lagrange multipliers and characteristic functions
Davide Azevedo, Lisa Santos
We consider a stationary variational inequality with gradient constraint and obstacle. We prove that this problem can be described by an equation using a Lagrange multiplier and a…
math.AP2025
An evolutionary vector-valued variational inequality and Lagrange multiplier
Davide Azevedo, Lisa Santos
We prove existence and uniqueness of solution of an evolutionary vector-valued variational inequality defined in the convex set of vector valued functions subject t…
math.AP2010
On a p-curl system arising in electromagnetism
Fernando Miranda, José-Francisco Rodrigues, Lisa Santos
We prove existence of solution of a -curl type evolutionary system arising in electromagnetism with a power nonlinearity of order , , assuming natural tangential…