Existence of solutions for singular elliptic systems with critical exponents

Dual variational methods in critical point theory and applications

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Natural Sciences, Mathematics, Physics +14

Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

Haïm Brézis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1983 · 2.9K citations

Natural Sciences, History, Differential Equations +8

First order interpolation inequalities with weights

Luis Caffarelli, Robert V. Kohn, Louis Nirenberg · French digital mathematics library (Numdam) · 1984 · 949 citations

Natural Sciences, Mathematics, Optimization +4

On the Caffarelli-Kohn-Nirenberg inequalities: Sharp constants, existence (and nonexistence), and symmetry of extremal functions

Florin Catrina, Zhi-Qiang Wang · Communications on Pure and Applied Mathematics · 2000 · 568 citations

Natural Sciences, Mathematics, Differential Equations +4

Hardy Inequalities and Some Critical Elliptic and Parabolic Problems

J.P. Garcı́a Azorero · Journal of Differential Equations · 1998 · 553 citations

Natural Sciences, Literature, Fluid Mechanics +10