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On very weak solutions of degenerate p-harmonic equations
Authors:Flavia Giannetti  Antonia Passarelli Di Napoli
Affiliation:(1) Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli “Federico II”, Via Cintia, 80126 Napoli, Italy
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.
Keywords:35B65  35J70
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