Answers are grounded in this paper and cite their sources.
Research investigates local gradient estimates for weak solutions of degenerate elliptic equations, suggesting implications for traffic models.
In this work, we mainly investigate the local gradient estimates in the setting of Lorentz spaces for weak solutions to a class of very degenerate elliptic equations, which comes from a model of traffic congestion. It is important to point out that the equations we studied have a wide degeneracy since their moduli of ellipticity vanish on the set {|∇u|≤1} and then behave like the classical p-Laplacian elliptic equation only on the set {|∇u|≥1}.
No takes yet. Share an insight, caveat, or question.
Yao et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: