Concentration on the Boundary and Sign-Changing Solutions for a Slightly Subcritical Biharmonic Problem

Salomón Alarcón, Jorge Faya, Carolina Rey

We consider the fourth-order nonlinear elliptic problem: \begin{equation*} \begin{array}{ll} Δ(a(x)Δu) = a(x) \left\vert u \right\vert^{p-2-ε} u \ \text{ in } \ Ω, \hspace{0.6cm} u…