Decaying entire positive solutions of quasilinear elliptic equations

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

Nonlinear scalar field equations, II existence of infinitely many solutions

Henri Berestycki, Pierre‐Louis Lions · Archive for Rational Mechanics and Analysis · 1983 · 797 citations · Full text

Natural Sciences, Mathematics, Differential Equations +14

Some singular, nonlinear differential equations arising in boundary layer theory

Andrew J. Callegari, A. Nachman · Journal of Mathematical Analysis and Applications · 1978 · 182 citations

Natural Sciences, Mathematics, Physics +14

On the existence and structure of stationary states for a nonlinear Klein-Gordan equation

Melvyn S. Berger · Journal of Functional Analysis · 1972 · 93 citations

Natural Sciences, Mathematics, Physics +9