19 citations · 31 across the 13 of their papers we have counts for
13 papers
Boundedness and evolution rates for a quasilinear reaction-diffusion equation
Razvan Gabriel Iagar, Marta Latorre, Ariel Sánchez
We consider the following quasilinear reaction-diffusion equation in dimension and in the…
The inhomogeneous Total Variation Flow with -data
Marta Latorre, Sergio Segura de León
This paper is devoted to the study of the Dirichlet problem for the parabolic equation driven by the --Laplacian operator under minimal integrability assumptions. Specifically,…
Large time behavior for a quasilinear diffusion equation with weighted source
Razvan Gabriel Iagar, Marta Latorre, Ariel Sánchez
The large time behavior of general solutions to a class of quasilinear diffusion equations with a weighted source term $$ \partial_tu=Δu^m+\varrho(x)u^p, \quad (x,t)\in\mathbb{R}^N…
Optimal existence, uniqueness and blow-up for a quasilinear diffusion equation with spatially inhomogeneous reaction
Razvan Gabriel Iagar, Marta Latorre, Ariel Sánchez
Well-posedness and a number of qualitative properties for solutions to the Cauchy problem for the following nonlinear diffusion equation with a spatially inhomogeneous source $$ \p…
On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices
Misael E. Marriaga, Guillermo Vera de Salas, Marta Latorre +1
Classical moment functionals (Hermite, Laguerre, Jacobi, Bessel) can be characterized as those linear functionals whose moments satisfy a second order linear recurrence relation. I…
Thermal Casimir effect in Gödel-type universes
A. F. Santos, Faqir C. Khanna
In this paper, a massless scalar field coupled to gravity is considered. Then the Casimir effect at finite temperature is calculated. Such development is carried out in the Thermo…
Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension
Razvan Gabriel Iagar, Marta Latorre, Ariel Sánchez
We classify all the blow-up solutions in self-similar form to the following reaction-diffusion equation posed for , wit…
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…
Elliptic 1-Laplacian Equations with Dynamical Boundary Conditions
M. Latorre, S. Segura de León
This paper is concerned with an evolution problem having an elliptic equation involving the 1-Laplacian operator and a dynamical boundary condition. We apply nonlinear semigroup th…
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…
Elliptic equations involving the 1--Laplacian and a total variation term with --data
M. Latorre, S. Segura de León
In this paper we study, in an open bounded set with Lipschitz boundary , the Dirichlet problem for a nonlinear singular elliptic equation involving…