## Differential and Integral Equations

### A dynamic programming principle with continuous solutions related to the $p$-Laplacian, $1 < p < \infty$

Hans Hartikainen

#### Abstract

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

#### Article information

Source
Differential Integral Equations Volume 29, Number 5/6 (2016), 583-600.

Dates
First available in Project Euclid: 9 March 2016

Hartikainen, Hans. A dynamic programming principle with continuous solutions related to the $p$-Laplacian, $1 &lt; p &lt; \infty$. Differential Integral Equations 29 (2016), no. 5/6, 583--600. https://projecteuclid.org/euclid.die/1457536892.