A dynamic programming principle with continuous solutions related to the p-Laplacian, 1 < p < ∞

2015/04/30 by Hans Hartikainen, Hartikainen, Hans
Computer Science · Engineering · Mathematics · #35B65 #91A15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis #Stability and Controllability of Differential Equations #math.AP #msc:35B65 #msc:91A15

paper · pdf · doi:10.48550/arxiv.1504.08082

arxiv created 2015/04/30 · openalex publication_date 2015/04/30 · arxiv updated 2015/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a Dynamic Programming Principle related to the p-Laplacian for 1 < p < ∞. The main results are existence, uniqueness and continuity of solutions.

Related

• Convergence of dynamic programming principles for the p-Laplacian
• General Existence of Solutions to Dynamic Programming Principle
• The limit as p→∞ for the p-Laplacian equation with dynamical boundary conditions
• Local Lipschitz regularity for functions satisfying a time-dependent dynamic programming principle
• A dynamic p-Laplacian