On Neumann $p$-Laplacian Lane-Emden equations and their asymptotic relationship with relative isoperimetric problems

Sean McCurdy, Alberto Saldaña, Delia Schiera

We consider a family of pure Neumann $p$-Laplacian problems, including eigenvalue problems, Lane-Emden type equations, and extremal cases such as sign nonlinearities and the $1$-La…