It is shown that the energy variation can be estimated by an integral containing only quantities constant on a magnetic surface. This one-dimensional problem is treated like the cylindrically symmetric case. The result is a sufficient stability criterion which admits a decreasing pressure profile and a non-vanishing current density on the magnetic axis. Unlike the sufficient criteria known so far the new criterion is applicable to axisymmetric configurations without interior conductors.
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D. Lortz (1973) studied this question.
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