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Optimal Rellich-Sobolev constants and their extremals (1307.7394v3)
Published 28 Jul 2013 in math.AP
Abstract: We prove that extremals for second order Rellich-Sobolev inequalities have constant sign. Then we show that the optimal constants in Rellich-Sobolev inequalities on a bounded domain {\Omega} and under Navier boundary conditions do not depend on {\Omega}
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