R. Ferreira

collaborators

4 papers

math.AP2021

A nonlinear diffusion equation with reaction localized to the half-line

Raúl Ferreira, Arturo de Pablo

We study the behaviour of the solutions to the quasilinear heat equation with a reaction restricted to a half-line $u_{t} = (u^{m})_{xx} + a (x) u^{p},$ $m, p > 0$ and $a (x) = 1$ for $x > 0$ , $…

math.AP2018

Eigenvalues for a combination between local and nonlocal $p -$ Laplacians

Leandro M. Del Pezzo, Raul Ferreira, Julio Rossi

In this paper we study the Dirichlet eigenvalue problem $- Δ_{p} u - Δ_{J, p} u = λ ∣ u ∣^{p - 2} u in Ω, u = 0 in Ω^{c} = R^{N} ∖ Ω.$ Here $Δ_{p} u$ i…

math.AP2018

Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions

Raul Ferreira, Arturo de Pablo

We study the behaviour of nonnegative solutions to the quasilinear heat equation with a reaction localized in a ball $u_{t} = Δ u^{m} + a (x) u^{p},$ for $m > 0$ , $0 < p \leq max {1, m}$ , $a(x)=\…

math.AP2018

Grow-up for a quasilinear heat equation with a localized reaction

Raul Ferreira, Arturo de Pablo

We study the behaviour of global solutions to the quasilinear heat equation with a reaction localized $u_{t} = (u^{m})_{xx} + a (x) u^{p},$ $m, p > 0$ and $a (x)$ being the characteristic fu…

A nonlinear diffusion equation with reaction localized to the half-line

Eigenvalues for a combination between local and nonlocal p−Laplacians

Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions

Grow-up for a quasilinear heat equation with a localized reaction

Eigenvalues for a combination between local and nonlocal $p -$ Laplacians