A. Molino

activity

20162026

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Showing 2017Show all

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math.AP2017

Elliptic equations involving the $1$ -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 $1$ -Laplacian operator and a source term. We prove that, when the growth of the source is subc…

math.AP2017

A concave-convex problem with a variable operator

Alexis Molino, Julio D. Rossi

We study the following elliptic problem $- A (u) = λ u^{q}$ with Dirichlet boundary conditions, where $A (u) (x) = Δ u (x) χ_{D_{1}} (x) + Δ_{p} u (x) χ_{D_{2}} (x)$ is the Laplacian in one part o…

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…

Elliptic equations involving the 1-Laplacian and a subcritical source term

A concave-convex problem with a variable operator

Parabolic equations with natural growth approximated by nonlocal equations

Elliptic equations involving the $1$ -Laplacian and a subcritical source term