Alexander A. Balinsky W. Desmond Evans Roger T. Lewis Page 1 Universitext Alexander A.
Balinsky W. Desmond Evans Roger T. Lewis The Analysis and Geometry of Hardy's …

We determine the sharp constant in the Hardy inequality for fractional Sobolev spaces. To
do so, we develop a non-linear and non-local version of the ground state representation …

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 …

We show that the classical Hardy inequalities with optimal constants in the Sobolev spaces
$ W_0^{1, p} $ and in higher-order Sobolev spaces on a bounded domain $\Omega\subset …

For a general subcritical second-order elliptic operator P in a domain Ω⊂ R n (or
noncompact manifold), we construct Hardy-weight W which is optimal in the following sense …

The fractional Sobolev spaces studied in the book were introduced in the 1950s by
Aronszajn, Gagliardo and Slobodeckij in an attempt to fill the gaps between the classical …

This book discusses advances in maximal function methods related to Poincaré and
Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's …

Hardy-type inequalities related to degenerate elliptic differential operators Page 1 Ann. Scuola
Norm. Sup. Pisa Cl. Sci. (5) Vol. IV (2005), 451-486 Hardy-type inequalities related to …

Semilinear elliptic equations for the fractional Laplacian with Hardy potential - ScienceDirect
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We prove a simple sufficient criterion to obtain some Hardy inequalities on Riemannian
manifolds related to quasilinear second order differential operator Δ pu:= div (|∇ u| p− 2∇ …