Div-curl fields of finite distortion

Tadeusz Iwaniec, Carlo Sbordone

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


Regularity results for div-curl fields (B, E) ∈ Lqloc (Ω, ℝn × ℝn), q>1, div B = 0, curl E = 0 of finite distortion K : Ω ⊂ ℝn → [1, ∞), i.e. satisfying a.e. in Ω |B(x)|2 + |E(x)|2 ≤ (K(x) + K-1 (x)) 〈B(x), E(x)〉, are given, in analogy with the theory of quasiconformal mappings in the plane. Almost optimal integrability theorems for the gradient of weak solutions to some linear and nonlinear pde's follow.

Original languageEnglish (US)
Pages (from-to)729-734
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Issue number8
StatePublished - Oct 1998

ASJC Scopus subject areas

  • General Mathematics


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