The aim of the paper is to study a Dirichlet problem whose equation is driven by a degenerate p-Laplacian with a weight depending on the solution and whose reaction is a convection term, thus depending on the solution and its gradient. The existence of a weak solution is proven by arguing through a truncated auxiliary problem. A major part of the proof consists in showing that the solutions are bounded. (c) 2022 Elsevier Ltd. All rights reserved.
Motreanu D., Tornatore E. (2023). Nonhomogeneous degenerate quasilinear problems with convection. NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS, 71 [10.1016/j.nonrwa.2022.103800].
Nonhomogeneous degenerate quasilinear problems with convection
Motreanu D.
Primo
;Tornatore E.Secondo
2023-01-01
Abstract
The aim of the paper is to study a Dirichlet problem whose equation is driven by a degenerate p-Laplacian with a weight depending on the solution and whose reaction is a convection term, thus depending on the solution and its gradient. The existence of a weak solution is proven by arguing through a truncated auxiliary problem. A major part of the proof consists in showing that the solutions are bounded. (c) 2022 Elsevier Ltd. All rights reserved.
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