A Note on Vortices with Prescribed Charge

Author:

Badiale Marino1,Rolando Sergio1

Affiliation:

1. Dipartimento di Matematica Università degli Studi di Torino, Via Carlo Alberto 10, 10123 Torino, Italy

Abstract

Abstract We consider the nonlinear Klein-Gordon equation with nonnegative potential, which makes the equation suitable for physical models, and prove the existence of solitary wave solutions with nonvanishing angular momentum and enough largely prescribed charge (c-vortices). This is done by solving the following minimization problem: where x = (y, z) ∈ ℝ2 × ℝ, k ≠ 0 and H is a suitable subspace of H1(ℝ3) × ℝ.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Reference22 articles.

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4. On the existence and structure of stationary states for a nonlinear Klein - Gordon equation;Berger;Funct Analysis,1972

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