31 citations · 103 across the 32 of their papers we have counts for
Showing 2010Show all
3 papers · 1 filter
math.AP2010
Irregular Time Dependent Obstacles
Peter Lindqvist, Mikko Parviainen
We study the obstacle problem for the Evolutionary p-Laplace Equation when the obstacle is discontinuous and without regularity in the time variable. Two quite different procedures…
math.AP2010
Nonhomogeneous Variational Problems and Quasi-Minimizers on Metric Spaces
Jasun Gong, Juan J. Manfredi, Mikko Parviainen
We show that quasi-minimizers of non-homogeneous energy functionals on metric measure spaces are locally Hölder continuous and satisfy the Harnack inequality. We assume that the sp…
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…