Elliptic equations involving the 1-Laplacian and a subcritical source term
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URI: http://hdl.handle.net/10835/15789
DOI: https://doi.org/10.1016/j.na.2017.11.006
DOI: https://doi.org/10.1016/j.na.2017.11.006
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2018-03Resumen
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 Pohoz̆aev type identity is proved, which holds even when the growth is supercritical. We also show explicit examples of our results.