Journal Article10.1007/s10013-021-00536-1
Hardy Type Identities on ℝ n − k
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About: This article is published in Vietnam journal of mathematics. The article was published on 07 Feb 2022. The article focuses on the topics: Remainder & Type (biology).
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Blow-up solutions of some nonlinear elliptic problems
Haim Brezis,Juan Luis Vázquez +1 more
TL;DR: In this article, a generalization of Hardy's and Poincaré's inequalities is proposed to deal with unbaunded exiremal solution problems in a continuous, positive, increasing and convex funetion setting.
The Hardy inequality : about its history and some related results
Alois Kufner,L. Malingrad,Lars-Erik Persson +2 more
- 01 Jan 2007
TL;DR: The Hardy inequality has a fascinating past and will have (hopefully) also a fascinating future as mentioned in this paper, and the authors present some important steps of the development of the classical Hardy inequality.
535
A unified approach to improved L p Hardy inequalities with best constants
TL;DR: In this article, a unified approach to improved L p Hardy inequalities in R N was presented, where Hardy potentials that involve either the distance from a point, or distance from the boundary, or even the intermediate case where the distance is taken from a surface of codimension 1 < k < N were considered.
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The Analysis and Geometry of Hardy's Inequality
Alexander Balinsky,William Desmond Evans,Lewis Roger +2 more
- 21 Oct 2015
TL;DR: Hardy, Sobolev, Maz'ya (HSM), and CLR inequalities as mentioned in this paper have been used to define the Rellich inequality on magnetic elds and the Hardy inequality on domains.
307
An improved Hardy-Sobolev inequality and its application
Adimurthi,Nirmalendu Chaudhuri,Mythily Ramaswamy +2 more
- 11 Jun 2001
TL;DR: In this article, the authors improved the Hardy-Sobolev inequality by adding a term with a singular weight of the type 1/(log(1/|x|)$^2$, and showed that this weight function is optimal in the sense that the inequality fails for any other weight function more singular than this one.