12 citations · 12 across the 4 of their papers we have counts for
4 papers
Variational -harmonious functions: existence and convergence to -harmonic functions
Evan W. Chandra, Michinori Ishiwata, Rolando Magnanini +1
In a recent paper, the last three authors showed that a game-theoretic -harmonic function is characterized by an asymptotic mean value property with respect to a kind of mea…
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…
Existence and non-existence of maximizers for the Moser-Trudinger type inequalities under inhomogeneous constraints
Norihisa Ikoma, Michinori Ishiwata, Hidemitsu Wadade
In this paper, we study the existence and non-existence of maximizers for the Moser-Trudinger type inequalities in of the form \[ D_{N,α}(a,b):= \sup_{u\in W^{1,N}(\Bbb…
A natural approach to the asymptotic mean value property for the -Laplacian
Michinori Ishiwata, Rolando Magnanini, Hidemitsu Wadade
Let . We show that a function is a viscosity solution to the normalized -Laplace equation if and only if the asymptotic for…