Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222689 | Nonlinear Analysis: Theory, Methods & Applications | 2018 | 17 Pages |
Abstract
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 subcritical, there exist two bounded nontrivial solutions to our problem. Moreover, a PohozÌaev type identity is proved, which holds even when the growth is supercritical. We also show explicit examples of our results.
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Authors
Alexis Molino Salas, Sergio Segura de León,