Equilibrium properties of intense relativistic nonneutralElayers are studied within the framework of the steady‐state Vlasov‐Maxwell equations. The analysis is carried out for an infinitely longElayer aligned parallel to a uniform magnetic fieldB0eˆz, assuming that theElayer is thin (radial thickness is small in comparison with the mean radiusR0) and&ngr;/&ggr;0 ≪ 1(&ngr;is Budker's parameter, and&ggr;0mc2is the electron energy). Equilibrium properties are calculated for the class of thinE‐layer equilibria in which all electrons have the same canonical angular momentumP&thgr;, but an arbitrary distribution in energyH, i.e.,fe0 (H, P&thgr;) = R0F (H + e&phgr;) &dgr; (P&thgr; − P0), whereR0, &phgr;0, andP0are constants. One of the most important features of the analysis is that the influence of equilibrium self‐fields on the radial thickness of theElayer can be large, even though&ngr;/&ggr;0 ≪ 1is assumed and the self‐field corrections to the mean radius of theElayer are small.