Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841491 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 10 Pages |
Abstract
In this paper we establish the best constant A˜opt(M¯) for the trace Nash inequality on ann-dimensional compact Riemannian manifold in the presence of symmetries, which is an improvement over the classical case due to the symmetries which arise and reflect the geometry of manifold. This is particularly true when the data of the problem is invariant under the action of an arbitrary compact subgroup GG of the isometry group Is(M,g)Is(M,g), where all the orbits have infinite cardinal.
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Authors
Athanase Cotsiolis, Nikos Labropoulos,