Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity Part I: N=3

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Blow-up solutions for asymptotically critical elliptic equations on Riemannian manifolds (2009, background): “Recent references on (1.6) are by del Pino{Musso{Pistoia [20] and Rey{Wei [ 21 , 22] where blowing-up families of solutions are proved to exist with blow-up points located on the boundary and determined by the mean curvature of @ . In the unbounded case where = Rn, a recent reference is by Michelett”
Super-critical boundary bubbling in a semilinear Neumann problem (2005, background): “We would like to mention that existence of solutions to problem (1.8) which blow up at an interior point of the domain Ω has been recently obtained in [ 31 ] in the case of dimension N = 3.”