Global second order optimal regularity for the vectorial p-Laplacian

Q: What type of study is this?

This is a Quantitative Study study.

Berardino Sciunzi; Giuseppe Spadaro; Domenico Vuono

doi:10.48550/arxiv.2502.17067

February 24, 2025Open Access

Global second order optimal regularity for the vectorial p-Laplacian

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Key Points

Global second order estimates for the stress field have been established in the context of vectorial p-Laplacian equations.
The findings particularly address the optimal regularity of solutions to the vectorial p-Laplace equations.
Estimates are obtained for solutions in the domain of Laplace equations, enhancing understanding of the stress field behavior.
These results can inform future research on vectorial p-Laplacians and their applications in mathematical analysis.

Implication

Analysis reveals global second order estimates for stress field in vectorial p-Laplace equations.

Abstract

We obtain optimal regularity results for solutions to vectorial p-Laplace equations - Δₚ u=- div(|D u|ᵖ⁻²D u) = f(x)\,\, inΩ\,. More precisely we address the issue of global second order estimates for the stress field.

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Cite This Study

Sciunzi et al. (2025) studied this question.

synapsesocial.com/papers/68f0d5eb105731330a2b1edb https://doi.org/10.48550/arxiv.2502.17067

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Global second order optimal regularity for the vectorial p-Laplacian

Key Points

Implication

Abstract

Discussion

Cite This Study

Global second order optimal regularity for the vectorial p-Laplacian

Key Points

Implication

Abstract

Discussion

Cite This Study

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