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Currently displaying 1 – 3 of 3

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On extrapolation blowups in the $l_{p}$ scale.

Capone, Claudia; Fiorenza, Alberto; Krbec, Miroslav — 2006

Journal of Inequalities and Applications [electronic only]

Coppie div-rot a distorsione finita

Claudia Capone — 2000

Bollettino dell'Unione Matematica Italiana

Quasiharmonic fields and Beltrami operators

Claudia Capone — 2002

Commentationes Mathematicae Universitatis Carolinae

A quasiharmonic field is a pair $ℱ = [B, E]$ of vector fields satisfying $div B = 0$ , $curl E = 0$ , and coupled by a distorsion inequality. For a given $ℱ$ , we construct a matrix field $𝒜 = 𝒜 [B, E]$ such that $𝒜 E = B$ . This remark in particular shows that the theory of quasiharmonic fields is equivalent (at least locally) to that of elliptic PDEs. Here we stress some properties of our operator $𝒜 [B, E]$ and find their applications to the study of regularity of solutions to elliptic PDEs, and to some questions of G-convergence.

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