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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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