The aim of this short paper is to show that some assumptions in Guarnotta et al. (Adv Nonlinear Anal 11:741-756, 2022) can be relaxed and even dropped when looking for weak solutions instead of strong ones. This improvement is a consequence of two results concerning gradient terms: an L-8 estimate, which exploits nonlinear potential theory, and a compactness result, based on the classical Riesz-Fr & eacute;chet-Kolmogorov theorem.
A note on gradient estimates for p-Laplacian equations
Guarnotta, U
;
2023-01-01
Abstract
The aim of this short paper is to show that some assumptions in Guarnotta et al. (Adv Nonlinear Anal 11:741-756, 2022) can be relaxed and even dropped when looking for weak solutions instead of strong ones. This improvement is a consequence of two results concerning gradient terms: an L-8 estimate, which exploits nonlinear potential theory, and a compactness result, based on the classical Riesz-Fr & eacute;chet-Kolmogorov theorem.File in questo prodotto:
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