Trajectories joining critical points of nonlinear parabolic and hyperbolic partial differential equations

Introduction to Functional Analysis.

Casper Goffman, Amy E. Taylor · American Mathematical Monthly · 1959 · 1K citations

Natural Sciences, Mathematics, Functional Assessment +9

Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations

Herbert Amann, Edward J. Zehnder · French digital mathematics library (Numdam) · 1980 · 314 citations

Natural Sciences, Mathematics, Computational Electromagnetics +13

A bifurcation problem for a nonlinear partial differential equation of parabolic type^†

Nathaniel Chafee, E. F. Infante · Applicable Analysis · 1974 · 304 citations

Natural Sciences, Mathematics, Differential Equations +16

Limiting behavior for strongly damped nonlinear wave equations

Paul Massatt · Journal of Differential Equations · 1983 · 127 citations

Natural Sciences, Mathematics, Physics +12

Asymptotic states for equations of reaction and diffusion

Paul C. Fife · Bulletin of the American Mathematical Society · 1978 · 104 citations · Full text

Natural Sciences, Mathematics, Chemical Kinetics +11