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.
Citation
José M. Mazón. Julio D. Rossi. Sergio Segura de León. "The $1$--Laplacian elliptic equation with inhomogeneous Robin boundary conditions." Differential Integral Equations 28 (5/6) 401 - 430, May/June 2015. https://doi.org/10.57262/die/1427744095
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