On Some Aspects of Oscillation Theory and Geometry

By Bruno Bianchini, L. Mari, M. Rigoli. 2013

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On the 1/H-flow by p-Laplace approximation: New estimates via fake distances under Ricci lower bounds (2019, background): “For a systematic study of Hardy weights and their role in geometric problems in the linear case p = 2 we refer the reader to [5, 6, 7].”
On the geometry of gradient einstein-type manifolds (2014, background): “15 in [3] we give the following sufficient condition for the instability of L.”
Mean Curvature Flow Solitons in the Presence of Conformal Vector Fields (2017, methodology): “aplace-Beltrami operator ∆ on M\BR. Letting εց 0+ we ﬁnally obtain λ∆ 1 (M\BR) ≥ ζ∗ Λ · On the other hand, using (7.36) and the assumption vol(M) = +∞, from Theorem 3.23 and Persson formula (2.88) of [7], we obtain λ∆ 1 (M\BR) ≤ α2 4 · Comparing the last two inequalities we obtain the validity of (7”