Elliptic equations with critical Sobolev exponents in dimension 3

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Abstract

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.

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APA

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

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