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arXiv · 2403.18860

On the viscosity linearization method without compactness

Anthony Salib
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Abstract

Savin's small perturbation approach has had far reaching applications in the theory of non-linear elliptic and parabolic PDE. In this short note, we revisit his seminal proof of De-Giorgi's improvement of flatness theorem for minimal surfaces and provide an approach based on the Harnack inequality that avoids the use of compactness arguments.

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Anthony Salib. 2024-03-21. On the viscosity linearization method without compactness. https://arxiv.org/abs/2403.18860

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