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Some improved Caffarelli-Kohn-Nirenberg inequalities

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Some improved Caffarelli-Kohn

For 1 < p < N and [equation] we obtain the following improved Hardy-Sobolev Inequalities[equation][equation] where 1 < q < p and [equation] if [equation ...

Some improved Caffarelli-Kohn

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Some improved Caffarelli-Kohn-Nirenberg inequalities 329 ii) By using a change of variables that appear in [8], Wang-Willem in [16] ob-tain the optimal ...


CAFFARELLI-KOHN-NIRENBERG INEQUALITIES ... In many situations, the validity of the inequality and some explicit bounds for its best constant

Some improved Caffarelli-Kohn

On the Caffarelli-Kohn-Nirenberg inequalities: Sharp constants, existence (and nonexistence), and symmetry of extremal functions

Some improvements of the Caffarelli-Kohn-Nirenberg

Some improvements of the Caffarelli-Kohn-Nirenberg type inequalities Futoshi Takahashi (Osaka City Univ.) joint work with Megumi Sano (OCU) RISM4 School on ...


We then show that also improved trace inequalities can be obtained in a similar way, but with a slightly di erent operator involved in the formula (1.11), for which we prove the required weighted estimates, that play the same role as that played by the result of [4] for the Ca arelli-Kohn-Nirenberg inequalities.

Some improved Caffarelli-Kohn

Also we give an alternative proof of the optimal improved inequality for p = 2 by Wang-Willem in [16].

Some Improved Caffarelli-Kohn

We establish some improved Caffarelli-Kohn-Nirenberg inequalities with general weights and optimal remainders. Moreover, we give a positive answer to an open problem raised by B. Abdellaoui, E. Colorado and I. Peral [Calc. Var. Partial Differ. Equ. 23, No. 3, 327–345 (2005; Zbl 1207.35114)].

On the Caffarelli-Kohn-Nirenberg Inequalities: Sharp ...

On the Caffarelli-Kohn-Nirenberg Inequalities: Sharp Constants, Existence (and Nonexistence), and Symmetry of Extremal Functions FLORIN CATRINA AND