Continuity in two dimensions for a very degenerate elliptic equation

DOI10.1016/j.na.2010.08.008zbMath1202.35107arXiv0909.2848OpenAlexW2592380533MaRDI QIDQ607100

Filippo Santambrogio, Vincenzo Vespri

Publication date: 19 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2848

zbMATH Keywords

traffic congestionbidimensional caselocal continuity of the gradientnonlinear very degenerate elliptic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70)

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Cites Work

• Unnamed Item
• Degenerate parabolic equations
• On the singular equation \(\beta (u)_ t=\Delta u\)
• Optimal Transportation with Traffic Congestion and Wardrop Equilibria
• Elliptic Partial Differential Equations of Second Order
• An existence result for a nonconvex variational problem via regularity
• Local Stress Regularity in Scalar Nonconvex Variational Problems
• On the Lipschitz regularity for certain elliptic problems
• Congested traffic dynamics, weak flows and very degenerate elliptic equations

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