## A dynamic programming principle with continuous solutions related to the $$p$$-Laplacian, $$1<p<\infty$$.(English)Zbl 1374.35020

Summary: 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.

### MSC:

 35A35 Theoretical approximation in context of PDEs 35J92 Quasilinear elliptic equations with $$p$$-Laplacian 91A05 2-person games 91A15 Stochastic games, stochastic differential games
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