Global higher integrability for the gradient of very weak solutions of a class of nonlinear elliptic systems.

DOI10.1016/S0362-546X(03)00050-6zbMath1126.35313OpenAlexW2046954229MaRDI QIDQ1395849

Suying Xie, Ai-nong Fang

Publication date: 1 July 2003

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/s0362-546x(03)00050-6

zbMATH Keywords

Hodge decompositionNonlinear elliptic systemsReverse Hölder inequalityVery weak solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60)

Related Items (1)

Global higher integrability for very weak solutions to nonlinear subelliptic equations

Cites Work

• Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
• \(p\)-harmonic tensors and quasiregular mappings
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• On very weak solutions of certain elliptic systems
• Weak minima of variational integrals.
• Regularity of the solutions to nonlinear elliptic equations with a lower-order term
• On the regularity of very weak minima
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