Existence of sign changing solutions for some critical problems on \(\mathbb R^N\)
The paper deals with constructing families of positive and changing-sign solutions for both the slightly subcritical and slightly supercritical equations \[ -\Delta u + V(x)u=N(N-2)| u| ^{\frac{4}{N-2}\pm\epsilon} u\qquad \text{ in}\;{\mathbb R}^N, \] which blow-up and concentrate at different points of \({\mathbb R}^N\) as \(\epsilon\) goes to 0, under certain conditions on the potential \(V.\)
scientific article; zbMATH DE number 2177445