Brunetti, DGraves, J PLazzaro, EMariani, ANowak, SCooper, W AWahlberg, C2018-01-112018-01-112018-01-11201810.1088/1741-4326/aa9456https://infoscience.epfl.ch/handle/20.500.14299/143730A new dispersion relation, and associated stability criteria, is derived for low-n external kink and infernal modes, and is applied to modelling the stability properties of quiescent H-mode like regimes. The analysis, performed in toroidal geometry with large edge pressure gradients associated with a local flattening of the safety factor, includes a pedestal, sheared toroidal rotation and a vacuum region separating the plasma from an ideal metallic wall. The external kink-infernal modes found here exhibit similarities with experimentally observed edge harmonic oscillations.text::journal::journal article::research article