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On very weak solutions of degenerate p-harmonic equations

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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.

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  1. Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli “Federico II”, Via Cintia, 80126, Napoli, Italy

    Flavia Giannetti & Antonia Passarelli Di Napoli

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  1. Flavia Giannetti
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  2. Antonia Passarelli Di Napoli
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Correspondence to Flavia Giannetti.

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Giannetti, F., Passarelli Di Napoli, A. On very weak solutions of degenerate p-harmonic equations. Nonlinear differ. equ. appl. 14, 739–751 (2007). https://doi.org/10.1007/s00030-007-5057-5

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  • DOI: https://doi.org/10.1007/s00030-007-5057-5

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