Bifurcation for a logistic elliptic equation with nonlinear boundary conditions: A limiting case

Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1959 · 3.8K citations

Natural Sciences, Mechanical Engineering, Differential Equations +10

Bifurcation from simple eigenvalues

Michael G. Crandall, Paul H. Rabinowitz · Journal of Functional Analysis · 1971 · 2.1K citations

Natural Sciences, Mathematics, Physics +12

Some global results for nonlinear eigenvalue problems

Paul H. Rabinowitz · Journal of Functional Analysis · 1971 · 1.9K citations

Natural Sciences, Mathematics, Physics +14

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

Bifurcation, perturbation of simple eigenvalues, itand linearized stability

Michael G. Crandall, Paul H. Rabinowitz · Archive for Rational Mechanics and Analysis · 1973 · 818 citations

Natural Sciences, Mathematics, Physics +12