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arXiv · 2402.17566

Third order estimates and the regularity of the stress field for solutions to $p$-Laplace equations

Daniel Baratta·Berardino Sciunzi·Domenico Vuono
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Abstract

We consider solutions to $$ - \Delta_{p} u = f(x) \quad \text{in } \Omega\, ,$$ when $p$ approaches the semilinear limiting case $p=2$ and we get third order estimates. As a consequence we deduce improved regularity properties of the stress field.

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Daniel Baratta, Berardino Sciunzi, Domenico Vuono. 2024-02-27. Third order estimates and the regularity of the stress field for solutions to $p$-Laplace equations. https://arxiv.org/abs/2402.17566

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