Optimal partial regularity for nonlinear sub-elliptic systems

DOI10.1016/j.jmaa.2011.08.080zbMath1242.35212OpenAlexW2081022318MaRDI QIDQ645376

Shuhong Chen, Zhong Tan

Publication date: 15 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.080

zbMATH Keywords

Carnot groupnatural growth conditionsubquadratic growth\(\mathcal A\)-harmonic approximation technique

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (8)

Partial regularity for subquadratic parabolic systems under controllable growth conditions ⋮ Partial regularity for subquadratic homogeneity elliptic system with VMO-coefficients ⋮ Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients ⋮ Partial regularity up to the boundary for solutions of subquadratic elliptic systems ⋮ \(L^{p}\)-estimates for quasilinear subelliptic equations with VMO coefficients under the controllable growth ⋮ Partial regularity of stationary Navier-Stokes systems under natural growth condition ⋮ Partial regularity for stationary Navier-Stokes systems by the method of \(\mathcal{A}\)-harmonic approximation ⋮ Partial regularity in the interior for discontinuous inhomogeneous elliptic system with VMO-coefficients

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