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arXiv · 2502.19819

Decay estimates for solutions to non-autonomous critical p-Laplace problems

Laura Baldelli·Umberto Guarnotta
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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.

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Laura Baldelli, Umberto Guarnotta. 2025-02-27. Decay estimates for solutions to non-autonomous critical p-Laplace problems. https://arxiv.org/abs/2502.19819

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