H. Wadade

activity

20162021

collaborators

3 papers

math.AP2021

Variational $p$ -harmonious functions: existence and convergence to $p$ -harmonic functions

Evan W. Chandra, Michinori Ishiwata, Rolando Magnanini +1

In a recent paper, the last three authors showed that a game-theoretic $p$ -harmonic function $v$ is characterized by an asymptotic mean value property with respect to a kind of mea…

math.AP2019

On an effect of inhomogeneous constraints for a maximizing problem of the Sobolev embedding associated with the space of bounded variation

Michinori Ishiwata, Hidemitsu Wadade

In this paper, we consider a maximizing problem associated with the Sobolev type embedding on the space of bounded variation. We show that, although the maximizing problem suffers…

math.AP2016

A natural approach to the asymptotic mean value property for the $p$ -Laplacian

Michinori Ishiwata, Rolando Magnanini, Hidemitsu Wadade

Let $1 \leq p \leq \infty$ . We show that a function $u \in C (R^{N})$ is a viscosity solution to the normalized $p$ -Laplace equation $Δ_{p}^{n} u (x) = 0$ if and only if the asymptotic for…

Variational p-harmonious functions: existence and convergence to p-harmonic functions

On an effect of inhomogeneous constraints for a maximizing problem of the Sobolev embedding associated with the space of bounded variation

A natural approach to the asymptotic mean value property for the p-Laplacian

Variational $p$ -harmonious functions: existence and convergence to $p$ -harmonic functions

A natural approach to the asymptotic mean value property for the $p$ -Laplacian