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 a suitable minimization problem.
A note on vortices with prescribed charge
BADIALE, Marino;
2012-01-01
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 a suitable minimization problem.
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