Observational and theoretical material is summarized which constitutes a rather disjoint set
of patchwork contributions available for compiling a picture of galactic chemical evolution …

Consider the following inequalities due to Caffarelli, Kohn, and Nirenberg 6\left (ℜ^ N| x|^-
bp| u|^ p\, dx\right)^ 2/p ≦ C_ a, b ℜ^ N| x|^-2a| ∇ u|^ 2\, dx where, for N≥ 3,−∞< a<(N …

We have experimentally determined a phase diagram for cylinder-forming polystyrene-block-
polybutadien-block-polystyrene triblock copolymer in thin films. The phase behavior can be …

This open access book provides an extensive treatment of Hardy inequalities and closely
related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The …

We present a unified approach to improved $ L^ p $ Hardy inequalities in $\mathbf {R}^ N $.
We consider Hardy potentials that involve either the distance from a point, or the distance …

In this paper we give a survey of selected results and open problems on integral inequalities
of Mathematical Physics connected with the papers of V. Maz'ya, S. Fillippas, A. Tertikas, R …

Let Ω be a bounded domain in RN, N⩾ 3, containing the origin. Motivated by a question of
Brezis and Vázquez, we consider an Improved Hardy Inequality with best constant b, that we …

" The book describes how functional inequalities are often manifestations of natural
mathematical structures and physical phenomena, and how a few general principles …

We give necessary and sufficient conditions on a pair of positive radial functions V and W on
a ball B of radius R in R n, n≥ 1, so that the following inequalities hold for all u ∈ C_ 0^ ∞ …

We give sharp remainder terms of L p and weighted Hardy and Rellich inequalities on one
of most general subclasses of nilpotent Lie groups, namely the class of homogeneous …