Existence of three nontrivial solutions for elliptic systems with critical exponents and weights

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

A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

Haïm Brézis, Élliott H. Lieb · Proceedings of the American Mathematical Society · 1983 · 1.2K citations

Natural Sciences, Materials Science, Functional Decline +8

Differential Systems with Strongly Indefinite Variational Structure

J. Hulshof, Robert Vandervorst · Journal of Functional Analysis · 1993 · 251 citations

Natural Sciences, Mathematics, Differential Equations +9

Strongly indefinite systems with critical Sobolev exponents

Josephus Hulshof, Enzo Mitidieri, Robertus C.A.M. Vandervorst · Transactions of the American Mathematical Society · 1998 · 68 citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +13

Uniqueness of solutions of nonlinear Dirichlet problems

P. N. Srikanth · Differential and Integral Equations · 1993 · 62 citations · Full text

Natural Sciences, Mathematics, Differential Equations +9