4 papers · 1 filter
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…