Regularity for sub-elliptic systems with VMO-coefficients in the Heisenberg group: the sub-quadratic structure case

DOI10.1515/anona-2020-0145zbMath1447.35125OpenAlexW3066200048MaRDI QIDQ2196477

Shujin Gao, Dongni Liao, Maochun Zhu, Jia Lin Wang

Publication date: 2 September 2020

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0145

zbMATH Keywords

\(p\)-Laplacianpartial Hölder continuityMorrey regularitysub-quadratic controllable growthsub-quadratic natural growth

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (6)

Regularity for a nonlinear discontinuous subelliptic system with drift on the Heisenberg group ⋮ Weak differentiability to nonuniform nonlinear degenerate elliptic systems under \(p\), \(q\)-growth condition on the Heisenberg group ⋮ Regularity for minimizing sequences of some variational integrals ⋮ Partial regularity for a nonlinear discontinuous sub-elliptic system with drift on the Heisenberg group: the superquadratic case ⋮ Optimal regularity of a degenerate elliptic equation ⋮ Kirchhoff-type problems involving the fractional \(p\)-Laplacian on the Heisenberg group

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