Radial solutions concentrating on spheres of nonlinear Schrödinger equations with vanishing potentials

A. Ambrosetti; D. Ruiz

doi:10.1017/S0308210500004789

Abstract

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We prove the existence of radial solutions of concentrating on a sphere for potentials which might be zero and might decay to zero at infinity. The proofs use a perturbation technique in a variational setting, through a Lyapunov–Schmidt reduction.

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Radial solutions concentrating on spheres of nonlinear Schrödinger equations with vanishing potentials

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