Sharp estimates on the first eigenvalue of the $$p$$ p -Laplacian with negative Ricci lower bound

Author:

Naber Aaron,Valtorta Daniele

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference17 articles.

1. Bakry, D., Qian, Z.: Some new results on eigenvectors via dimension, diameter, and Ricci curvature. Adv. Math. 155, 98–153 (2000). doi: 10.1006/aima.2000.1932

2. Chen, M.F., Wang, F.Y.: Application of coupling method to the first eigenvalue on manifold. Sci. China Ser. A 37, 1–14 (1994)

3. Chen, M., Wang, F.: General formula for lower bound of the first eigenvalue on Riemannian manifolds. Sci. China Ser. A 40, 384–394 (1997). doi: 10.1007/BF02911438

4. Došlý, O., Řehák, P.: Half-linear Differential Equations, North-Holland Mathematics Studies 202. Elsevier Science B.V., Amsterdam (2005)

5. Esposito L., Nitsch C., Trombetti C., Best constants in Poincaré inequalities for convex domains. J. Convex Anal. 20 (2013). http://arxiv.org/abs/1110.2960

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