Artículos de revistas
Cavity type problems ruled by infinity Laplacian operator
Fecha
2017-02Registro en:
Ricarte, G. C.; Da Silva, Joao Vitor; Teymurazyan, R.; Cavity type problems ruled by infinity Laplacian operator; Academic Press Inc Elsevier Science; Journal Of Differential Equations; 262; 3; 2-2017; 2135-2157
0022-0396
CONICET Digital
CONICET
Autor
Ricarte, G. C.
Da Silva, Joao Vitor
Teymurazyan, R.
Resumen
We study a singularly perturbed problem related to infinity Laplacian operator with prescribed boundary values in a region. We prove that solutions are locally (uniformly) Lipschitz continuous, they grow as a linear function, are strongly non-degenerate and have porous level surfaces. Moreover, for some restricted cases we show the finiteness of the (n−1)-dimensional Hausdorff measure of level sets. The analysis of the asymptotic limits is carried out as well.