Optimal partial regularity of second order nonlinear elliptic systems with Dini continuous coefficients for the superquadratic case

DOI10.1016/j.na.2012.01.016zbMath1241.35052OpenAlexW2017329621MaRDI QIDQ413598

Yalin Qiu

Publication date: 7 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.01.016

zbMATH Keywords

nonlinear elliptic systemsnatural growth conditionoptimal partial regularity\(A\)-harmonic approximation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Second-order elliptic systems (35J47)

Related Items

Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients ⋮ Partial regularity for discontinuous sub-elliptic systems with VMO-coefficients involving controllable growth terms in Heisenberg groups ⋮ Optimal partial regularity for nonlinear sub-elliptic systems with Dini continuous coefficients in Carnot groups ⋮ Partial interior regularity for sub-elliptic systems with dini continuous coefficients in Carnot groups: the sub-quadratic controllable case ⋮ Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group ⋮ \(C^1\)-partial regularity for sub-elliptic systems with Dini continuous coefficients in Carnot groups ⋮ Optimal partial regularity for sub-elliptic systems with Dini continuous coefficients under the superquadratic natural growth ⋮ Partial regularity for sub-elliptic systems with Dini continuous coefficients involving natural growth terms in the Heisenberg group ⋮ Partial regularity for discontinuous sub-elliptic systems with subquadratic growth in the Heisenberg group ⋮ Partial regularity for nonlinear subelliptic systems with Dini continuous coefficients in Heisenberg groups

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