We prove that extremals for second order Rellich-Sobolev inequalities have a constant sign. Then, we show that the optimal con- stants in Rellich-Sobolev inequalities on a bounded domain and under Navier boundary conditions do not depend on Ω.
OPTIMAL RELLICH-SOBOLEV CONSTANTS AND THEIR EXTREMALS
MUSINA, Roberta
2014-01-01
Abstract
We prove that extremals for second order Rellich-Sobolev inequalities have a constant sign. Then, we show that the optimal con- stants in Rellich-Sobolev inequalities on a bounded domain and under Navier boundary conditions do not depend on Ω.File in questo prodotto:
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