Existence of blowing-up solutions for a slightly subcritical or a slightly supercritical nonlinear elliptic equation on \(\mathbb R^n\)
The goal of the authors is to construct a family of positive solutions for both the slightly subcritical and slightly supercritical equations \[ -\Delta u+V(x)u=n(n-2)(u^+)^{(n+2)/(n-2)\pm \varepsilon}\qquad \text{ in} {\mathbb R}^n, \] which blow-up and concentrate at a single point as \(\varepsilon\) goes to \(0,\) under certain conditions on the potential \(V.\)
scientific article; zbMATH DE number 1880092