Infinitely many radial solutions of a semilinear elliptic problem on ?N

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

Symmetry of positive solutions of nonlinear elliptic equations in R^n

Basilis Gidas · Medical Entomology and Zoology · 1981 · 1K citations

Natural Sciences, Aerospace Engineering, Differential Equations +8

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