10 papers
Variational and Quasi-variational solutions to thick flows
Jos\é Francisco Rodrigues, Lisa Santos
We formulate the flow of thick fluids as evolution variational and quasi-variational inequalities, with a variable threshold on the absolute value of the deformation rate tensor. I…
Nonlocal Lagrange multipliers and transport densities
Assis Azevedo, José Francisco Rodrigues, Lisa Santos
We prove the existence of generalised solutions of the Monge-Kantorovich equations with fractional -gradient constraint, , associated to a general, possibly degenerate, l…
On a class of nonlocal problems with fractional gradient constraint
A. Azevedo, J. F. Rodrigues, L. Santos
We consider a Hilbertian and a charges approach to fractional gradient constraint problems of the type , involving the distributional fractional Riesz gradient ,…
On nonlocal variational and quasi-variational inequalities with fractional gradient
José Francisco Rodrigues, Lisa Santos
We extend classical results on variational inequalities with convex sets with gradient constraint to a new class of fractional partial differential equations in a bounded domain wi…
Variational and Quasi-Variational Inequalities with Gradient Type Constraints
José Francisco Rodrigues, Lisa Santos
This survey on stationary and evolutionary problems with gradient constraints is based on developments of monotonicity and compactness methods applied to large classes of scalar an…
Evolutionary quasi-variational and variational inequalities with constraints on the derivatives
Fernando Miranda, José Francisco Rodrigues, Lisa Santos
This paper considers a general framework for the study of the existence of quasi-variational and variational solutions to a class of nonlinear evolution systems in convex sets of B…
Solutions for linear conservation laws with gradient constraints
José Francisco Rodrigues, Lisa Santos
We consider variational inequality solutions with prescribed gradient constraints for first order linear boundary value problems. For operators with coefficients only in , we…
Quasivariational solutions for first order quasilinear equations with gradient constraint
José Francisco Rodrigues, Lisa Santos
We prove the existence of solutions for an evolution quasi-variational inequality with a first order quasilinear operator and a variable convex set, which is characterized by a con…
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…
The nonlinear N-membranes evolution problem
José Francisco Rodrigues, Lisa Santos, José Miguel Urbano
The parabolic N-membranes problem for the p-Laplacian and the complete order constraint on the components of the solution is studied in what concerns the approximation, the regular…