A free boundary optimization problem for the $\infty$-Laplacian

Abstract

We study a free boundary optimization problem in heat conduction, ruled by the infinity-Laplace operator, with lower temperature bound and a volume constraint. We obtain existence and regularity results and derive geometric properties for the solution and the free boundaries.

19 pages

References in corpus (1)

• p(x)-Harmonic functions with unbounded exponent in a subdomain