19 citations · 44 across the 7 of their papers we have counts for
7 papers
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\…
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;…
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: $$ \left\{\begin{array}{ll} \displaystyle -Δ_1 u =h(u)f(x)&\…
Regularizing effects concerning elliptic equations with a superlinear gradient term
Marta Latorre Balado, Martina Magliocca, Sergio Segura de León
We consider the homogeneous Dirichlet problem for an elliptic equation driven by a linear operator with discontinuous coefficients and having a subquadratic gradient term. This gra…
Parabolic equations with natural growth approximated by nonlocal equations
Tommaso Leonori, Alexis Molino, Sergio Segura de León
In this paper we study several aspects related with solutions of nonlocal problems whose prototype is $$ u_t =\displaystyle \int_{\mathbb{R}^N} J(x-y) \big( u(y,t) -u(x,t) \big) \m…
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…
On 1-Laplacian Elliptic Equations Modeling Magnetic Resonance Image Rician Denoising
Adrian Martin, Emanuele Schiavi, Sergio Segura de Leon
Modeling magnitude Magnetic Resonance Images (MRI) rician denoising in a Bayesian or generalized Tikhonov framework using Total Variation (TV) leads naturally to the consideration…