4 citations · 4 across the 5 of their papers we have counts for
5 papers
An implicit two-phase obstacle-type problem for the -Laplacian with the fractional gradient
Pedro Miguel Campos, José Francisco Rodrigues
In this work we study an inhomogeneous two-phase obstacle-type problem associated to the -fractional -Laplacian. Besides the existence and uniqueness of solutions, we study t…
On the Obstacle Problem in Fractional Generalised Orlicz Spaces
Catharine W. K. Lo, José Francisco Rodrigues
We consider the one and the two obstacles problems for the nonlocal nonlinear anisotropic -Laplacian , with . We prove the strict T-monotonicity of $\mat…
On the Stability of the -Nonlocal -Obstacle Problem and their Coincidence Sets and Free Boundaries
Catharine W. K. Lo, José Francisco Rodrigues
We show that the solutions to the nonlocal obstacle problems for the nonlocal operator, when the fractional parameter for , converge to the solution of t…
Unilateral Problems for Quasilinear Operators with Fractional Riesz Gradients
Pedro Miguel Campos, José Francisco Rodrigues
In this work, we develop the classical theory of monotone and pseudomonotone operators in the class of convex constrained Dirichlet-type problems involving fractional Riesz gradien…
On fractional and classical hyperbolic obstacle-type problems
Pedro Miguel Campos, José Francisco Rodrigues
We consider weak solutions for the obstacle-type viscoelastic () and very weak solutions for the obstacle inviscid () Dirichlet problems for the heterogeneous and anisotr…