Higher integrability via Riesz transforms and interpolation.

DOI10.1016/S0362-546X(01)00119-5zbMath1219.35095OpenAlexW2010400981MaRDI QIDQ1599967

Tadeusz Iwaniec, Claudia Capone, Luigi Greco

Publication date: 6 June 2002

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(01)00119-5

zbMATH Keywords

interpolationsingular integralsreverse Hölder inequalities\(p\)-harmonic equationsnonlinear commutators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Nonlinear elliptic equations (35J60) Applications of functional analysis to differential and integral equations (46N20)

Related Items (3)

Partial regularity for weak solutions of nonlinear elliptic systems: the subquadratic case ⋮ Higher integrability of the gradient in degenerate elliptic equations ⋮ Stability for \(p\)-Laplace type equation in a borderline case

Cites Work

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• Projections onto gradient fields and $L^{p}$-estimates for degenerated elliptic operators
• Higher integrability of the gradient of minimizers of functional with nonstandard growth conditions
• 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.
• On the regularity of very weak minima

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