Differential and Integral Equations

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

Hans Hartikainen

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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

Permanent link to this document
https://projecteuclid.org/euclid.die/1457536892

Zentralblatt MATH identifier
06562190

Subjects
Primary: 35A35: Theoretical approximation to solutions {For numerical analysis, see 65Mxx, 65Nxx} 35J92: Quasilinear elliptic equations with p-Laplacian 91A05: 2-person games 91A15: Stochastic games

Citation

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.


Export citation