Weak solutions to strongly nonlinear weighted degenerate inclusion problems with L 1 -data
Abstract
This paper is devoted to the analysis of a broad class of strongly nonlinear elliptic differential inclusion problems of Leray–Lions type within the framework of weighted Sobolev spaces, under degenerate coercivity and driven by L1-data. Our approach combines Yosida regularization with truncation techniques specifically adapted to the weighted Sobolev setting. We first establish the existence of weak solutions for bounded data, and subsequently derive the existence of weak solutions for general L1-data.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Optimization and Variational Analysis
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Complex Variables and Elliptic Equations
- Publisher
- Informa UK Limited
- Pages
- 1–27
- Publication date
- 21 May 2026
- Language
- EN