We establish a regularity result for very weak solutions of some degenerate elliptic PDEs. The nonnegative function which measures the degree of degeneracy of ellipticity bounds is assumed to be exponentially integrable. We find that the scale of improved regularity is logarithmic.
On very weak solutions of degenerate p- harmonic equations / Giannetti, Flavia; PASSARELLI DI NAPOLI, Antonia. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 14:(2007), pp. 739-751. [10.1007/s00030-007-5057-5]
On very weak solutions of degenerate p- harmonic equations
GIANNETTI, FLAVIA;PASSARELLI DI NAPOLI, ANTONIA
2007
Abstract
We establish a regularity result for very weak solutions of some degenerate elliptic PDEs. The nonnegative function which measures the degree of degeneracy of ellipticity bounds is assumed to be exponentially integrable. We find that the scale of improved regularity is logarithmic.File in questo prodotto:
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