We study the existence of minimizing solutions for an elliptic equation with critical Sobolev growth on a smooth bounded domain of R3. We answer in particular two questions of Haïm Brezis. Higher dimensions n ≥ 4 are completely understood thanks to previous works by H. Brezis and L. Nirenberg. © 2002 Éditions scientifiques et médicales Elsevier SAS.
Druet, O. (2002). Elliptic equations with critical Sobolev exponents in dimension 3. Annales de l’Institut Henri Poincare (C) Analyse Non Lineaire, 19(2), 125–142. https://doi.org/10.1016/S0294-1449(02)00095-1