3 papers
math.AP2023
The fractional Laplacian: a primer
Rafayel Teymurazyan
In this note we give a glimpse of the fractional Laplacian. In particular, we bring several definitions of this non-local operator and series of proofs of its properties. It is str…
math.AP2016
Cavity type problems ruled by infinity Laplacian operator
Gleydson Chaves Ricarte, João Vítor da Silva, Rafayel Teymurazyan
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) Lipschit…
math.AP2010
On the Two Obstacles Problem in Orlicz-Sobolev Spaces and Applications
J. F. Rodrigues, R. Teymurazyan
We prove the Lewy-Stampacchia inequalities for the two obstacles problem in abstract form for T-monotone operators. As a consequence for a general class of quasi-linear elliptic op…