47 citations · 128 across the 30 of their papers we have counts for
5 papers · 2 filters
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…
p(x)-Harmonic functions with unbounded exponent in a subdomain
Juan J. Manfredi, Julio D. Rossi, José Miguel Urbano
We study the Dirichlet problem in , with on and in , a subdomain of the reference domain . The ma…
Growth conditions and uniqueness of the Cauchy problem for the evolutionary infinity Laplacian
Tommaso Leonori, José Miguel Urbano
We study the Cauchy problem for the parabolic infinity Laplace equation. We prove a new comparison principle and obtain uniqueness of viscosity solutions in the class of functions…
On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding
Mostafa Bendahmane, Raimund Brger, Ricardo Ruiz Baier +1
This paper addresses the existence and regularity of weak solutions for a fully parabolic model of chemotaxis, with prevention of overcrowding, that degenerates in a two-sided fash…
The obstacle problem for nonlinear elliptic equations with variable growth and L^1-data
José Francisco Rodrigues, Manel Sanchón, José Miguel Urbano
The aim of this paper is twofold: to prove, for L^1-data, the existence and uniqueness of an entropy solution to the obstacle problem for nonlinear elliptic equations with variable…