Abstract
In this paper, we study the existence and uniqueness of renormalized solution for nonlinear multivalued elliptic problems \(\beta (u)-div(a(x,\nabla u)+F(u))\ni f\) in the framework of Orlicz spaces and \(L^1\)-data.
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Akdim, Y., Ouboufettal, M. Solvability of nonlinear elliptic inclusion problems in Orlicz spaces and \(L^1\)-data. Rend. Circ. Mat. Palermo, II. Ser 73, 489–511 (2024). https://doi.org/10.1007/s12215-023-00929-w
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DOI: https://doi.org/10.1007/s12215-023-00929-w
Keywords
- Elliptic equation
- Inclusion problems
- Maximal monotone graph
- Orlicz-Sobolev spaces
- Renormalized solution
- Truncations