Concepedia
Nonlinear Analysis · 2009 · 100 citations · 17 references
Natural SciencesOcean EngineeringOptimizationBoundary ConditionsConvex AnalysisConvex GeometryCritical PhenomenaCriticalityDegenerate Critical PointsElliptic Partial Differential EquationsNondegenerate Critical Points
17
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
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
On nonhomogeneous elliptic equations involving critical Sobolev exponent
Gabriella Tarantello · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 1992 · 462 citations · Full text
Natural Sciences, Computational Engineering, Fluid Dynamics +10
The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function
K.J. Brown, Yanping Zhang · Journal of Differential Equations · 2003 · 425 citations
Natural Sciences, Mathematics, Differential Equations +7