activity
20162022
most citedExistence and comparison results for an elliptic equation involving the -Laplacian and -data

2 citations · 2 across the 3 of their papers we have counts for

collaborators

6 papers

math.AP2022

Behaviour of solutions to -Laplacian with Robin boundary conditions as goes to

Francesco Della Pietra, Francescantonio Oliva, Sergio Segura de León

We study the asymptotic behaviour, as , of the solutions of the following inhomogeneous Robin boundary value problem: \begin{equation} \label{pbabstract} \tag{P} \left\…

math.AP2022

Existence and uniqueness for the inhomogeneous 1-Laplace evolution equation revisited

Marta Latorre, Sergio Segura de León

In this paper we deal with an inhomogeneous parabolic Dirichlet problem involving the 1-Laplacian operator. We show the existence of a unique solution when data belong to $L^1(0,T;…

math.AP2020

The Dirichlet problem for the -Laplacian with a general singular term and -data

Marta Latorre, Francescantonio Oliva, Francesco Petitta +1

We study the Dirichlet problem for an elliptic equation involving the -Laplace operator and a reaction term, namely: $$ \left\{\begin{array}{ll} \displaystyle -Δ_1 u =h(u)f(x)&\…

math.AP2019

Regularizing effects concerning elliptic equations with a superlinear gradient term

Marta Latorre Balado, Martina Magliocca, Sergio Segura de León

We consider the homogeneous Dirichlet problem for an elliptic equation driven by a linear operator with discontinuous coefficients and having a subquadratic gradient term. This gra…

math.AP2017

Parabolic equations with natural growth approximated by nonlocal equations

Tommaso Leonori, Alexis Molino, Sergio Segura de León

In this paper we study several aspects related with solutions of nonlocal problems whose prototype is $$ u_t =\displaystyle \int_{\mathbb{R}^N} J(x-y) \big( u(y,t) -u(x,t) \big) \m…

math.AP2016★ 2 cited

Existence and comparison results for an elliptic equation involving the -Laplacian and -data

M. Latorre, S. Segura de León

This paper is devoted to analyse the Dirichlet problem for a nonlinear elliptic equation involving the --Laplacian and a total variation term, that is, the inhomogeneous case of…