[en] The production of magnetic islands by the introduction of plasma pressure into nonaxisymmetric confinement configurations is analyzed, assuming scalar pressure. Far from the rational surfaces a procedure based on linearization in β applies. Singularities at the resonant surfaces are resolved with a nonlinear analysis. Scaling is found by using the approximation of nearly circular flux surfaces. Island size depends dramatically on whether or not a magnetic well is present. If a magnetic hill is present, islands overlap for arbitrarily low pressure