The Gelfand problem for the Infinity Laplacian

Fernando Charro, Byungjae Son, Peiyong Wang

We study the asymptotic behavior as $p\to \infty$ of the Gelfand problem \[ -Δ_{p} u=λ\,e^{u}\ \textrm{in}\ Ω\subset\mathbb{R}^n,\quad u=0 \ \textrm{on}\ \partialΩ. \] Under an appr…