Higher regularity for minimizers of very degenerate convex integrals

DOI10.1016/j.na.2024.113520arXiv2312.17665OpenAlexW4391939607MaRDI QIDQ6154898

Antonio Giuseppe Grimaldi

Publication date: 12 March 2024

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/2312.17665

zbMATH Keywords

asymptotically convex functionalscontinuity of the gradientvery degenerate elliptic systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Regularity of solutions in optimal control (49N60)

Cites Work

• Unnamed Item
• Continuity in two dimensions for a very degenerate elliptic equation
• Global \(L^{\infty }\) gradient estimates for solutions to a certain degenerate elliptic equation
• Everywhere-regularity for some quasilinear systems with a lack of ellipticity
• Regularity for a class of nonlinear elliptic systems
• A continuous theory of traffic congestion and Wardrop equilibria
• Very degenerate elliptic equations under almost critical Sobolev regularity
• Gradient Hölder regularity for degenerate parabolic systems
• Higher regularity for minimizers of very degenerate integral functionals
• An excess-decay result for a class of degenerate elliptic equations
• On certain anisotropic elliptic equations arising in congested optimal transport: local gradient bounds
• Equazioni ellittiche del II\(^ \circ\) ordine e spazi \({\mathcal L}^{(2,\lambda)}\)
• Higher regularity in congested traffic dynamics
• Optimal Transportation with Traffic Congestion and Wardrop Equilibria
• Linearisation at infinity and Lipschitz estimates for certain problems in the calculus of variations
• Partial Differential Equations
• Congested traffic dynamics, weak flows and very degenerate elliptic equations