Hölder regularity of quasiminimizers to generalized Orlicz functional on the Heisenberg group

DOI10.1155/2020/8838654zbMath1462.35118OpenAlexW3110438652MaRDI QIDQ2220507

Junli Zhang, Peng Cheng Niu

Publication date: 25 January 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/8838654

zbMATH Keywords

maximal functionCalderón-Zygmund decompositionRiesz potentialDe Giorgi-Moser iteration

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

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 ⋮ Partial regularity for a nonlinear discontinuous sub-elliptic system with drift on the Heisenberg group: the superquadratic case

Cites Work

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• Bounded minimisers of double phase variational integrals
• Hölder regularity of quasiminimizers under generalized growth conditions
• Lebesgue and Sobolev spaces with variable exponents
• The maximal operator on generalized Orlicz spaces
• Differentiability of solutions for the non-degenerate \(p\)-Laplacian in the Heisenberg group
• Regularity for double phase variational problems
• Harnack inequalities for double phase functionals
• Gradient regularity for elliptic equations in the Heisenberg group
• Regularity results for quasilinear elliptic equations in the Heisenberg group
• Generalized Orlicz spaces and related PDE
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• Non-autonomous functionals, borderline cases and related function classes
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Regularity of quasi-linear equations in the Heisenberg group
• \(C^{1,\alpha}\) local regularity for the solutions of the \(p\)-Laplacian on the Heisenberg group for \(2 \leq p < 1 + \sqrt{5}\)

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