Decay estimates for solutions to non-autonomous critical p-Laplace problems
Analysis of PDEs
2025-02-28 v1
Abstract
We prove optimal decay estimates for positive solutions to elliptic p-Laplacian problems in the entire Euclidean space, when a critical nonlinearity with a decaying source term is considered. Also gradient decay estimates are furnished. Our results extend previous theorems in the literature, in which a purely critical reaction is treated. The technique is based on a priori estimates, regularity results, and rescaling arguments, combined with the doubling lemma.
Cite
@article{arxiv.2502.19819,
title = {Decay estimates for solutions to non-autonomous critical p-Laplace problems},
author = {Laura Baldelli and Umberto Guarnotta},
journal= {arXiv preprint arXiv:2502.19819},
year = {2025}
}