30 citations · 34 across the 2 of their papers we have counts for
3 papers
math.AP2012
Discontinuous gradient constraints and the infinity Laplacian
Petri Juutinen, Mikko Parviainen, Julio D. Rossi
Motivated by tug-of-war games and asymptotic analysis of certain variational problems, we consider a gradient constraint problem involving the infinity Laplace operator. We prove t…
math.AP2011★ 4 cited
A new proof for the equivalence of weak and viscosity solutions for the -Laplace equation
Petri Juutinen, Vesa Julin
In this paper, we give a new proof for the fact that the distributional weak solutions and the viscosity solutions of the -Laplace equation $-\diver(\abs{Du}^{p-2}Du)=0$ coincid…
math.AP2010★ 30 cited
Equivalence of Viscosity and Weak Solutions for the -Laplacian
Petri Juutinen, Teemu Lukkari, Mikko Parviainen
We consider different notions of solutions to the -Laplace equation $-÷(\abs{Du(x)}^{p(x)-2}Du(x))=0$ with . We show by proving a comparison principle that vi…