Instability of solutions to Kirchhoff type problems in low dimension
Nhat Vy Huynh, Phuong Le · Annales Polonici Mathematici · 2019
We study the Kirchhoff type problem \[ \begin {cases} - m\Bigl (\displaystyle \int _{\Omega } w_1| abla u|^p \,dx\Bigr ) {\rm div} (w_1| abla u|^{p-2} abla u) = w_2f(u) &\text {in }\Omega , \\ u = 0 &\text {on }\partial \Omega , \end {cases} \] where $