Gradient constraints, Born-Infeld, and maximal surfaces via superposition of infinitely many $p$-Laplacians

Haydar Abdel Hamid, Juan Carlos Chata Ortiz, Francesco Petitta +1

We study the Dirichlet problem for an infinite series of $p$-Laplacians, $$-\sum _{p=2}^{\infty }{a}_p{\Delta }_{p}u=f\text{ in }\Omega ,u=g\text{ on }\partial \Omega ,$$ where $\{a_{p}\}…