Maximal solutions for the Infinity-eigenvalue problem

Joao V. da Silva, Julio D. Rossi, Ariel M. Salort

In this article we prove that the first eigenvalue of the $\infty -$Laplacian $$ \left\{ \begin{array}{rclcl} \min\{ -Δ_\infty v,\, |\nabla v|-λ_{1, \infty}(Ω) v \} & = & 0 & \text{…