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Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials

Manuel del Pino, Juncheng Wei, Wei Yao

Calculus of Variations and Partial Differential Equations · 2014 · 44 citations · 42 references

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42

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

, , +13

Existence of solitary waves in higher dimensions

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

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Uniqueness of positive solutions of Δu−u+up=0 in Rn

Man Kam Kwong · Archive for Rational Mechanics and Analysis · 1989 · 1.3K citations

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

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

, , +8

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

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

, , +8