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arXiv · 2501.02106

Second order regularity for degenerate p-Laplace type equations with log-concave weights

Carlo Alberto Antonini·Giulio Ciraolo·Francesco Pagliarin
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Abstract

We consider weighted p-Laplace type equations with homogeneous Neumann boundary conditions in convex domains, where the weight is a log-concave function which may degenerate at the boundary. In the case of bounded domains, we provide sharp global second-order estimates. For unbounded domains, we prove local estimates at the boundary. The results are new even for the case p = 2.

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Carlo Alberto Antonini, Giulio Ciraolo, Francesco Pagliarin. 2025-01-03. Second order regularity for degenerate p-Laplace type equations with log-concave weights. https://arxiv.org/abs/2501.02106

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