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pro vyhledávání: '"Xavier Ramos Olivé"'
Publikováno v:
Mathematische Zeitschrift. 296:595-613
We prove a sharp Zhong–Yang type eigenvalue lower bound for closed Riemannian manifolds with control on integral Ricci curvature.
Autor:
Xavier Ramos Olivé
Publikováno v:
Proceedings of the American Mathematical Society. 147:411-426
We prove a Li-Yau gradient estimate for positive solutions to the heat equation, with Neumann boundary conditions, on a compact Riemannian submanifold with boundary ${\bf M}^n\subseteq {\bf N}^n$, satisfying the integral Ricci curvature assumption: \
We prove the existence of Sobolev extension operators for certain uniform classes of domains in a Riemannian manifold with an explicit uniform bound on the norm depending only on the geometry near their boundaries. We use this quantitative estimate t
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