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arXiv · 1712.01336

Nonlinear Calder\'on-Zygmund inequalities for maps

Batu Güneysu·Stefano Pigola
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Abstract

Being motivated by the problem of deducing $L^p$-bounds on the second fundamental form of an isometric immersion from $L^p$-bounds on its mean curvature vector field, we prove a (nonlinear) Calder\'on-Zygmund inequality for maps between complete (possibly noncompact) Riemannian manifolds.

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Batu Güneysu, Stefano Pigola. 2017-12-04. Nonlinear Calder\'on-Zygmund inequalities for maps. https://arxiv.org/abs/1712.01336

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