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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principles
Caffarelli Kohn-Nierberg不等式 不确定性原理
2023/11/13
In this talk we introduce some improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principle for complex- and vector-valued functions on ?n, which is a further study of the results given i...
含Caffarelli-Kohn-Nirenberg型临界指数奇异椭圆方程组的多重解
椭圆方程组 Caffarelli-Kohn-Nirenberg 不等式 Nehari 流形 临界指数 多重解
2013/10/17
本文研究了有界域上一类含临界指数与奇异位势的非线性椭圆方程组,利用Caffarelli-Kohn-Nirenberg不等式与Nehari流形,证明了该类方程组在参数满足一定条件下两组非平凡解的存在性.
Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions
radial functions Caffarelli-Kohn-Nirenberg inequalities trace inequalities
2010/11/29
We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in Rn × R+ admit a better range of power weights if we restrict ourselves to the sp...