Notes on the p-Laplace equation
PublisherUniversity of Jyväskylä
ISSN Search the Publication Forum1457-8905
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Calderón's problem for p-laplace type equations Brander, Tommi (University of Jyväskylä, 2016)We investigate a generalization of Calderón’s problem of recovering the conductivity coeﬃcient in a conductivity equation from boundary measurements. As a model equation we consider the p-conductivity equation div σ ...
Hölder gradient regularity for the inhomogeneous normalized p(x)-Laplace equation Siltakoski, Jarkko (Elsevier Inc., 2022)We prove the local gradient Hölder regularity of viscosity solutions to the inhomogeneous normalized p(x)-Laplace equation −Δp(x)Nu=f(x), where p is Lipschitz continuous, infp>1, and f is continuous and bounded.
Gradient and Lipschitz Estimates for Tug-of-War Type Games Attouchi, Amal; Luiro, Hannes; Parviainen, Mikko (Society for Industrial and Applied Mathematics, 2021)We define a random step size tug-of-war game and show that the gradient of a value function exists almost everywhere. We also prove that the gradients of value functions are uniformly bounded and converge weakly to the ...
Enclosure method for the p-Laplace equation Brander, Tommi; Kar, Manas; Salo, Mikko (Institute of Physics Publishing Ltd.; Institute of Physics, 2015)Abstract. We study the enclosure method for the p-Calderon problem, which is a nonlinear generalization of the inverse conductivity problem due to Calderon that involves the p-Laplace equation. The method allows one to ...
Regularity for nonlinear stochastic games Luiro, Hannes; Parviainen, Mikko (Elsevier, 2018)We establish regularity for functions satisfying a dynamic programming equation, which may arise for example from stochastic games or discretization schemes. Our results can also be utilized in obtaining regularity and ...