Quasilinear Dirichlet Problems with Degenerated p -Laplacian and Convection Term

Dumitru Motreanu and Elisabetta Tornatore
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Dumitru Motreanu: Department of Mathematics, University of Perpignan, 66860 Perpignan, France
Elisabetta Tornatore: Department of Mathematics and Computer Science, University of Palermo, 90123 Palermo, Italy

Mathematics, 2021, vol. 9, issue 2, 1-12

Abstract: The paper develops a sub-supersolution approach for quasilinear elliptic equations driven by degenerated p -Laplacian and containing a convection term. The presence of the degenerated operator forces a substantial change to the functional setting of previous works. The existence and location of solutions through a sub-supersolution is established. The abstract result is applied to find nontrivial, nonnegative and bounded solutions.

Keywords: quasilinear elliptic problem; degenereted p-Laplacian; convection term; sub-supersolution; nonnegative solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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