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