Deep-Learning Solvers and Surrogates for Infinity and p-Laplace ProblemsNew

This research focuses on neural network solvers for infinity and p-Laplace problems, which arise in nonlinear analysis. The study applies Physics-Informed Neural Networks and Deep Operator Networks to 2D and 3D domains, addressing computational challenges across p values from 2 to 1000. The method is presented as an alternative to traditional physics-based solvers.