Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840219 | Nonlinear Analysis: Theory, Methods & Applications | 2013 | 8 Pages |
Abstract
Let MM be a compact, connected, mm-dimensional manifold without boundary and p>1p>1. For 1
mp>m, we show that any conformal class of Riemannian metrics on MM contains metrics of volume one with λ1,pλ1,p arbitrarily large. As a consequence, we obtain that in two dimensions λ1,pλ1,p is uniformly bounded on the space of Riemannian metrics of volume one if 1
2p>2.
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Authors
Ana-Maria Matei,