12 citations · 14 across the 6 of their papers we have counts for
6 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…
Remarks on the Rellich inequality
Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade
We study the Rellich inequalities in the framework of equalities. We present equalities which imply the Rellich inequalities by dropping remainders. This provides a simple and dire…
Remarks on the Hardy type inequalities with remainder terms in the framework of equalities
Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade
We study the Hardy type inequalities in the framework of equalities. We present equalities which immediately imply Hardy type inequalities by dropping the remainder term. Simultane…
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…