90 citations · 365 across the 17 of their papers we have counts for
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math.DG2012★ 1 cited
On the p-Laplace operator on Riemannian manifolds
Daniele Valtorta
This thesis covers different aspects of the p-Laplace operators on Riemannian manifolds. Chapter 2. Potential theoretic aspects: the Khasmkinskii condition. Chapter 3: sharp eigenv…
math.DG2012★ 70 cited
Sharp estimates on the first eigenvalue of the p-Laplacian with negative Ricci lower bound
Aaron Naber, Daniele Valtorta
We complete the picture of sharp eigenvalue estimates for the p-Laplacian on a compact manifold by providing sharp estimates on the first nonzero eigenvalue of the nonlinear operat…
math.DG2012
Critical sets of elliptic equations
Jeff Cheeger, Aaron Naber, Daniele Valtorta
Given a solution to a linear homogeneous second order elliptic equation with Lipschitz coefficients, we introduce techniques for giving improved estimates of the critical set $…