ON THE CAPACITY APPROACH TO NON{ATTAINABILITY OF HARDY'S INEQUALITY IN R~N

DANIELE CASSANI; BERNHARD RUF; CRISTINA TARSI

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ON THE CAPACITY APPROACH TO NON{ATTAINABILITY OF HARDY'S INEQUALITY IN R~N

机译：关于非{R〜N中耐久性不平等的容量方法

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In this note we exploit nonlinear capacity estimates in the spirit of Mitidieri-Pohozaev [15] in the context of Lorentz spaces. This from one side yields a simple proof, though non-optimal, of non-attainability of Hardy's inequality in RN, on the other side gives a partial positive answer to a conjecture raised in [15].

机译：在本说明中，我们在洛伦兹空间的背景下利用了Mitidieri-Pohozaev [15]的精神的非线性容量估计。这一侧从一侧产生一个简单的证据，虽然不可达到了RN在RN中的不平等的不可达不可平等，但另一侧给出了[15]中提出的猜想的部分正答案。

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《Discrete and continuous dynamical systems▼hSeries S》 |2019年第2期|245-250|共6页
作者
DANIELE CASSANI; BERNHARD RUF; CRISTINA TARSI;
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作者单位

Dip. di Scienza e Alta Tecnologia Universit a degli Studi dell'Insubria RISM–Riemann International School of Mathematics via G.B. Vico 46 21100 - Varese Italy;

Dip. di Matematica Universita degli Studi di Milano via C. Saldini 50 20133 - Milano Italy;

Dip. di Matematica Universita degli Studi di Milano via C. Saldini 50 20133 - Milano Italy;

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正文语种 eng
中图分类
关键词
Functional inequalities; Hardy inequality; Lorentz spaces; Liouville theorems; non-existence results;

机译：功能不平等;耐寒不平等;洛伦兹空间;Liouville定理;不存在的结果;

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ON THE CAPACITY APPROACH TO NON{ATTAINABILITY OF HARDY'S INEQUALITY IN R~N

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