Semi-classical states of nonlinear Schrödinger equations: a variational reduction method

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

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

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Natural Sciences, Mathematics, Differential Equations +10

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

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

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Local mountain passes for semilinear elliptic problems in unbounded domains

Manuel del Pino, Patricio Felmer · Calculus of Variations and Partial Differential Equations · 1996 · 838 citations

Engineering, Computational Engineering, Computational Fluid Dynamics +12