Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space

Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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

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NONLINEAR FUNCTIONAL ANALYSIS

John Toland · Bulletin of the London Mathematical Society · 1986 · 1.6K citations

Law, Computational Engineering, Optimization +2

Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems

Antonio Ambrosetti, Haïm Brézis, G. Cerami · Journal of Functional Analysis · 1994 · 1.1K citations

Natural Sciences, Mathematics, Optimization +11

Maximal Space-like Hypersurfaces in the Lorentz-Minkowski Spaces

Shiu‐Yuen Cheng, Shing‐Tung Yau · Annals of Mathematics · 1976 · 555 citations

Natural Sciences, Mathematics, Physics +14

Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems

Andrzej Szulkin · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 1986 · 378 citations · Full text

Natural Sciences, Mathematics, Differential Equations +14