اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدImproved Sobolev trace inequalities in the unit ball under constraints
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We establish an improved Sobolev trace inequality of order two in the Euclidean unit ball under the vanishing of higher order moments of the boundary volume element, and construct precise test functions to show that such inequalities are almost optimal. Our arguments can be adapted to the fourth order Sobolev trace inequalities in higher dimensional unit ball.
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