Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems

Dual variational methods in critical point theory and applications

Antonio Ambrosetti, Paul H. Rabinowitz · Journal of Functional Analysis · 1973 · 4.4K citations

Natural Sciences, Mathematics, Physics +14

Topological Vector Spaces.

M. S. Ramanujan, Helmut Schaefer · American Mathematical Monthly · 1967 · 4K citations

Natural Sciences, Mathematics, Geometry +7

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, 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

Quasilinear Dirichlet problems driven by positive sources

D. D. Joseph, T. S. Lundgren · Archive for Rational Mechanics and Analysis · 1973 · 797 citations

Natural Sciences, Mathematics, Mathematical Physics +12