| Sobolev-Lorentz范数约束下的次临界型Adams不等式 |
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| 引用本文： | 朱茂春,刘宇航.Sobolev-Lorentz范数约束下的次临界型Adams不等式[J].数学学报,2021(2):231-242. |
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| 作者姓名： | 朱茂春 刘宇航 |
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| 作者单位： | 江苏大学数学科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(11601190,11701162,11661006);江苏省青年基金资助项目(BK20160483);江苏大学基础基金资助项目(16JDG043)。 |
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| 摘 要： | 本文在Sobolev-Lorentz空间W2L2,q(R4)的范数约束下得到了一个最佳的二阶次临界型Adams不等式.进一步,当次临界指标逼近最佳常数时,得到了Adams泛函的上、下界的估计.本文主要采用了Lam和LuA new approach to sharp MoserTrudinger and Adams type inequalities:a rearrangement-free argument,J.Diff Equ.,2013,255(3):298-325]的分割水平集方法.
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| 关 键 词： | 次临界 Adams不等式 Sobolev-Lorentz空间 重排理论 |
A Sharp Subcritical Adams Inequality in Lorentz Sobolev Space |
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| Mao Chun ZHU,Yu Hang LIU.A Sharp Subcritical Adams Inequality in Lorentz Sobolev Space[J].Acta Mathematica Sinica,2021(2):231-242. |
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| Authors: | Mao Chun ZHU Yu Hang LIU |
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| Affiliation: | (School of Matheratical Sciences,Jiangsu University,Zhenjiang 212013,P.R.China) |
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| Abstract: | We obtain a sharp second order subcritical Adams inequality in Lorentz Sobolev space W2 L2,q(R4).Moreover,the lower and upper bounds asymptotically for the subcritical Adams functional is obtained.Our approach is based on the rearrangement free argument developed by Lam and LuA new approach to sharp MoserTrudinger and Adams type inequalities:a rearrangement-free argument,J.Diff.Equ.,2013,255(3):298-325]. |
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| Keywords: | subcritical Adams’inequality Sobolev-Lorentz space rearrangement argument |
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