Radial solutions of Δu + f(u) = 0 with prescribed numbers of zeros

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

Uniqueness of positive radial solutions of Δu+f(u)=0 in ℝn

Kevin McLeod, James Serrin · Archive for Rational Mechanics and Analysis · 1987 · 308 citations

Natural Sciences, Cell Biology, Differential Equations +9

Uniqueness of positive solutions of semilinear equations in ℝn

L. A. Peletier, James Serrin · Archive for Rational Mechanics and Analysis · 1983 · 209 citations

Natural Sciences, Mathematics, Differential Equations +11