Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Absolutely Minimizing Lipschitz Extensions and Infinity Harmonic
  Functions on the Sierpinski gasket   Aim of this note is to study the infinity Laplace operator and the
corresponding Absolutely Minimizing Lipschitz Extension problem on the
Sierpinski gasket in the spirit of the classical construction of Kigami for the
Laplacian. We introduce a notion of infinity harmonic functions on pre-fractal
sets and we show that these functions solve a Lipschitz extension problem in
the discrete setting. Then we prove that the limit of the infinity harmonic
functions on the pre-fractal sets solves the Absolutely Minimizing Lipschitz
Extension problem on the Sierpinski gasket.

29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc