Optimal Rellich-Sobolev constants and their extremals
classification
🧮 math.AP
keywords
rellich-sobolevconstantsextremalsinequalitiesomegaoptimalboundarybounded
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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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