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Local regularity estimates for general discrete dynamic programming equations
Arroyo, Ángel; Blanc, Pablo; Parviainen, Mikko (Elsevier, 2022)We obtain an analytic proof for asymptotic Hölder estimate and Harnack's inequality for solutions to a discrete dynamic programming equation. The results also generalize to functions satisfying Pucci-type inequalities for ... -
Logarithmic mean inequality for generalized trigonometric and hyperbolic functions
Bhayo, Barkat; Yin, Li (Editura Scientia; Universitatea Sapientia Cluj-Napoca, 2015)In this paper we study the convexity and concavity properties of generalized trigonometric and hyperbolic functions in case of Logarithmic mean. -
Regularity properties of tug-of-war games and normalized equations
Ruosteenoja, Eero (University of Jyväskylä, 2017) -
Remarks on regularity for p-Laplacian type equations in non-divergence form
Attouchi, Amal; Ruosteenoja, Eero (Academic Press, 2018)We study a singular or degenerate equation in non-divergence form modeled on the p-Laplacian, −|Du|γ(Δu+(p−2)Δ∞ Nu)=finΩ. We investigate local C1,α regularity of viscosity solutions in the full range γ>−1 and p>1, and ... -
Calderón problem for the p-Laplace equation : First order derivative of conductivity on the boundary
Brander, Tommi (American Mathematical Society, 2016)We recover the gradient of a scalar conductivity defined on a smooth bounded open set in Rd from the Dirichlet to Neumann map arising from the p-Laplace equation. For any boundary point we recover the gradient using Dirichlet ...