ultispike solutions for a nonlinearelliptic problem involving critical Sobolev exponent

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Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem (2007, background): “Conversely, it was shown in [41,37] that, if ξ is a “stable” critical point of the Robin’s function, then problem (1.”
On the Existence and the Profile of Nodal solutions of Elliptic Equations Involving Critical Growth (2006, background): “and satisfies �(ξ ∗ 1 ,ξ ∗ 2 ) ≥ 0. Conversely, if (ξ ∗ 1 ,ξ ∗ 2 ) is a “stable” critical point of � with �(ξ ∗ 1 ,ξ ∗ 2 )> 0, in [30 ]a nd [ 27 ] the authors proved, for e small enough, the existence of a solution ue of (1.1) which concentrates at ξ ∗ 1 and ξ ∗ 2 as e goes to zero.”