On the existence of soliton solutions to quasilinear Schrödinger equations

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

Nonlinear scalar field equations, I existence of a ground state

Henri Berestycki, P. L. Lions · Archive for Rational Mechanics and Analysis · 1983 · 2.6K citations · Full text

Natural Sciences, Mathematics, Differential Equations +13

Existence of solitary waves in higher dimensions

Walter A. Strauss · Communications in Mathematical Physics · 1977 · 1.8K citations

Natural Sciences, Mathematics, Physics +11

Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential

Andreas Floer, Alan Weinstein · Journal of Functional Analysis · 1986 · 863 citations

Natural Sciences, Physics, Condensed Matter Physics +8

Existence and multiplicity results for some superlinear elliptic problems on R^N

Thomas Bartsch, Zhiqiang Wang · Communications in Partial Differential Equations · 1995 · 800 citations

Natural Sciences, Higher Education, Bank Resolution +8