The AB program in geometric analysis : sharp Sobolev inequalities and related problems / Olivier Druet, Emmanuel Hebey.
Euclidean background Statement of the $AB$ program Some historical motivations The $H^2_1$-inequality--Part I The $H^2_1$-inequality--Part II PDE methods The isoperimetric inequality The $H^p_1$-inequalities, $1 <p <dimM$ Bibliography.
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