Sharp Nash inequalities on the unit sphere: The influence of symmetries |
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Authors: | Athanase Cotsiolis Nikos Labropoulos |
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Institution: | Department of Mathematics, University of Patras, Patras 26110, Greece |
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Abstract: | In this paper both we establish the best constants for the Nash inequalities on the standard unit sphere Sn of Rn+1, n≥3 and we give answers on the existence of extremal functions on the corresponding problems. Also we study the problem of the best constants in the case where the data are invariant under the action of the group G=O(k)×O(m), k+m=n+1 and we find the best constants. |
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Keywords: | 41A44 58E40 58E35 |
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