On semilinear elliptic equations involving concave–convex nonlinearities and sign-changing weight function

On the variational principle

Ivar Ekeland · Journal of Mathematical Analysis and Applications · 1974 · 2.3K citations · Full text

Natural Sciences, Mathematics, Physics +10

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 harnack type inequalities and their application to quasilinear elliptic equations

Neil S. Trudinger · Communications on Pure and Applied Mathematics · 1967 · 771 citations

Engineering, Agricultural Engineering, Aerodynamics +8

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

Exact multiplicity of positive solutions for a class of semilinear problem, II

Tiancheng Ouyang, Junping Shi · Journal of Differential Equations · 1999 · 177 citations

Natural Sciences, Mathematics, Differential Equations +13