Weak differentiability to nonuniform nonlinear degenerate elliptic systems under \(p\), \(q\)-growth condition on the Heisenberg group

DOI10.1016/j.jmaa.2023.127246zbMath1514.35168arXiv2302.02320MaRDI QIDQ6044195

Zhouyu Li, Junli Zhang

Publication date: 17 May 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.02320

zbMATH Keywords

nonlinear degenerate elliptic system on the Heisenberg groupweak differentiability of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62)

Cites Work

• Unnamed Item
• Unnamed Item
• Lipschitz estimates for systems with ellipticity conditions at infinity
• Bounded minimisers of double phase variational integrals
• Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations
• Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group
• Regularity for scalar integrals without structure conditions
• Regularity for quasilinear equations and 1-quasiconformal maps in Carnot groups
• Regularity of minimizers of vectorial integrals with \(p\)-\(q\) growth
• Nonuniformly elliptic energy integrals with \(p, q\)-growth
• Partial regularity for discontinuous sub-elliptic systems with VMO-coefficients involving controllable growth terms in Heisenberg groups
• Regularity for general functionals with double phase
• Sharp regularity for functionals with (\(p\),\(q\)) growth
• Differentiability of solutions for the non-degenerate \(p\)-Laplacian in the Heisenberg group
• On the regularity of minima of non-autonomous functionals
• Existence and regularity for elliptic equations under \(p,q\)-growth
• Growth conditions and regularity for weak solutions to nonlinear elliptic pdes
• Regularity under general and \(p,q\)-growth conditions
• Regularity for sub-elliptic systems with VMO-coefficients in the Heisenberg group: the sub-quadratic structure case
• Hölder regularity of quasiminimizers to generalized Orlicz functional on the Heisenberg group
• \(C^{1, \alpha}\)-regularity for variational problems in the Heisenberg group
• Regularity for double phase variational problems
• Regularity of quasi-minimizers for non-uniformly elliptic integrals
• Gradient regularity for elliptic equations in the Heisenberg group
• Absence of Lavrentiev gap for non-autonomous functionals with \((p,q)\)-growth
• Regularity results for quasilinear elliptic equations in the Heisenberg group
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• Regularity results for minimizers of irregular integrals with (p,q) growth
• p-Laplace Equation in the Heisenberg Group
• Regularity for quasilinear second‐order subelliptic equations
• An embedding theorem and the harnack inequality for nonlinear subelliptic equations
• Regularity of quasi-linear equations in the Heisenberg group
• On the 𝐶^{1,𝛼} regularity of 𝑝-harmonic functions in the Heisenberg group

This page was built for publication: Weak differentiability to nonuniform nonlinear degenerate elliptic systems under \(p\), \(q\)-growth condition on the Heisenberg group