3 citations · 5 across the 7 of their papers we have counts for
8 papers
Lower order term for the fractional Laplacian with a Hardy potential
Rubén Fiñana, Alexis Molino
This paper is concerned with the following semilinear elliptic equation involving the fractional Laplacian: in a bounded domain…
Gelfand type problems involving the 1-Laplacian operator
Alexis Molino, Sergio Segura de León
In this paper, the theory of Gelfand problems is adapted to the 1--Laplacian setting. Concretely, we deal with the following problem \begin{equation*} \left\{\begin{array}{cc} -Δ_1…
Nonexistence result for a semilinear elliptic problem
Salvador López-Martínez, Alexis Molino
In this paper we prove the nonexistence of nontrivial solution to \begin{equation*} \begin{cases} -Δu =f(u) &\text{in }Ω, \\ u=0 &\text{on } \partial Ω, \end{cases} \end{equation*}…
Elliptic equations involving the -Laplacian and a subcritical source term
Alexis Molino, Sergio Segura de Leon
In this paper we deal with a Dirichlet problem for an elliptic equation involving the -Laplacian operator and a source term. We prove that, when the growth of the source is subc…
A concave-convex problem with a variable operator
Alexis Molino, Julio D. Rossi
We study the following elliptic problem with Dirichlet boundary conditions, where is the Laplacian in one part o…
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…
Improved energy methods for nonlocal diffusion problems
J. A. Cañizo, A. Molino
We prove an energy inequality for nonlocal diffusion operators of the following type, and some of its generalisations: , wher…
Local triple derivations on real C*-algebras and JB*-triples
Francisco J. Fernández-Polo, Alexis Molino, Antonio M. Peralta
We study when a local triple derivation on a real JB*-triple is a triple derivation. We find an example of a (real linear) local triple derivation on a rank-one Cartan factor of ty…