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math.AP2011
Optimal regularity for the no-sign obstacle problem
John Andersson, Erik Lindgren, Henrik Shahgholian
In this paper we prove the optimal -regularity for a general obstacle type problem $$ \lap u = fχ_{\{u\neq 0\}}\textup{in $B_1$}, $$ under the assumption that $…
math.AP2011
Stability for the Infinity-Laplace Equation with variable exponent
Erik Lindgren, Peter Lindqvist
The stability for the viscosity solutions of a differential equation with a perturbation term added to the Infinity-Laplace Operator is studied. This is the so-called Infinity-Lapl…