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arXiv · 2610.19633

Sharp $L^q$ estimate of adjoint problem and Pucci conjecture

Jui-Yun Hung·Nan Wu
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Abstract

Let $L$ be a linear second-order elliptic operator satisfying a nondegeneracy condition. We establish sharp $L^q$ estimates for solutions of the adjoint problem associated with $L$ and, by duality, derive sharp $L^p$ estimates for solutions of $Lu = f$. In particular, this confirms a conjecture of Carlo Pucci.

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Jui-Yun Hung, Nan Wu. 2026-10-14. Sharp $L^q$ estimate of adjoint problem and Pucci conjecture. https://arxiv.org/abs/2610.19633

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