## Differential and Integral Equations

### The $1$--Laplacian elliptic equation with inhomogeneous Robin boundary conditions

#### Abstract

In this paper, we study existence of solutions to the $1$--Laplacian elliptic equation with inhomogeneous Robin boundary conditions. It is also analyzed from the point of view of the Euler--Lagrange equation of a lower semicontinuous functional. We see the equivalence between the solutions of the elliptic problem and the minimizers of the functional.

#### Article information

Source
Differential Integral Equations, Volume 28, Number 5/6 (2015), 401-430.

Dates
First available in Project Euclid: 30 March 2015

Mazón, José M.; Rossi, Julio D.; de León, Sergio Segura. The $1$--Laplacian elliptic equation with inhomogeneous Robin boundary conditions. Differential Integral Equations 28 (2015), no. 5/6, 401--430. https://projecteuclid.org/euclid.die/1427744095