We study the regularity of solutions to degenerate $A$-harmonic equations under suitable integrability assumptions on the ellipticity and growth coefficients. In particular we show a self-improving property of the gradient of the solutions, extending previous results by Gehring and Iwaniec-Sbordone valid in the uniformly elliptic setting.
Regularity of solutions of degenerate A-harmonic equations / Greco, Luigi; Giannetti, Flavia; PASSARELLI DI NAPOLI, Antonia. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 73:8(2010), pp. 2651-2665. [10.1016/j.na.2010.06.044]
Regularity of solutions of degenerate A-harmonic equations
GRECO, LUIGI;GIANNETTI, FLAVIA;PASSARELLI DI NAPOLI, ANTONIA
2010
Abstract
We study the regularity of solutions to degenerate $A$-harmonic equations under suitable integrability assumptions on the ellipticity and growth coefficients. In particular we show a self-improving property of the gradient of the solutions, extending previous results by Gehring and Iwaniec-Sbordone valid in the uniformly elliptic setting.File in questo prodotto:
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