Sobolev inequalities for the Hardy–Schrödinger operator: extremals and critical dimensions

A compactness theorem for the Yamabe problem

(2017) M.A. Khuri et al.   JOURNAL OF DIFFERENTIAL GEOMETRY

Minimizing problems for the Hardy-Sobolev type inequality with the singularity on the boundary

(2012) Chang-Shou Lin et al.   TOHOKU MATHEMATICAL JOURNAL

Optimal Hardy inequalities for general elliptic operators with improvements

(2010) Craig Cowan   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Revisiting an idea of Brézis and Nirenberg

(2010) Chun-Hsiung Hsia et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Minimizers of Caffarelli–Kohn–Nirenberg Inequalities with the Singularity on the Boundary

(2009) Jann-Long Chern et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Elliptic equations with critical growth and a large set of boundary singularities

(2009) Nassif Ghoussoub et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

On the best possible remaining term in the Hardy inequality

(2008) N. Ghoussoub et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA