\(\mathrm{HW}^{2, 2}_\mathrm{loc}\)-regularity for \(p\)-harmonic functions in Heisenberg groups

DOI10.1515/acv-2021-0026OpenAlexW3189178161MaRDI QIDQ2691828

Fa Peng, Yuan Zhou, Jiayin Liu

Publication date: 30 March 2023

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.07908

zbMATH Keywords

Heisenberg groupSobolev regularity\(p\)-harmonic function

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Analysis on real and complex Lie groups (22E30) Elliptic equations and elliptic systems (35Jxx) Close-to-elliptic equations (35Hxx)

Cites Work

• Unnamed Item
• Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Regularity of \(p\)-harmonic functions on the plane
• Hessian estimates for equations involving \(p\)-Laplacian via a fundamental inequality
• \(C^{1, \alpha}\)-regularity for variational problems in the Heisenberg group
• Gradient regularity for elliptic equations in the Heisenberg group
• Regularity results for quasilinear elliptic equations in the Heisenberg group
• Hypoelliptic second order differential equations
• Subelliptic Cordes estimates
• On the fatou theorem for p-harmonic function
• Regularity of quasi-linear equations in the Heisenberg group

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