10 citations · 18 across the 16 of their papers we have counts for
18 papers
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…
Global Existence for Nonlocal Quasilinear Diffusion Systems in Non-Isotropic Non-Divergence Form
Catharine W. K. Lo, José Francisco Rodrigues
Consider the quasilinear diffusion problem \[\begin{cases}\mathbf{u}'+Π(t,x,\mathbf{u},Σ\mathbf{u})\mathbb{A}\mathbf{u}=\mathbf{f}(t,x,\mathbf{u},Σ\mathbf{u})&\text{ in }]0,T[\time…
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 an Anisotropic Fractional Stefan-Type Problem with Dirichlet Boundary Conditions
Catharine W. K. Lo, José Francisco Rodrigues
In this work, we consider the fractional Stefan-type problem in a Lipschitz bounded domain with time-dependent Dirichlet boundary condition for the temperatu…
On a Class of Nonlocal Obstacle Type Problems Related to the Distributional Riesz Fractional Derivative
Catharine W. K. Lo, José Francisco Rodrigues
In this work, we consider the nonlocal obstacle problem with a given obstacle in a bounded Lipschitz domain in , such that $\mathbb{K}_ψ^s=\{v\in H^s_0(Ω):v…
Analysis of a quasi-variational contact problem arising in thermoelasticity
Amal Alphonse, Carlos N. Rautenberg, José Francisco Rodrigues
We formulate and study two mathematical models of a thermoforming process involving a membrane and a mould as implicit obstacle problems. In particular, the membrane-mould coupling…