arXiv subjects

A. E. Kogoj

Publications and source records attributed to A. E. Kogoj.

2 recordsLinked to original sources

arXiv2017

Wiener-Landis criterion for Kolmogorov-type operators

We establish a necessary and sufficient condition for a boundary point to be regular for the Dirichlet problem related to a class of Kolmogorov-type equations. Our criterion is inspired by two classical criteria for the heat equation: the Evans-Gariepy's Wiener test, and a criterion by Landis expressed in terms of a series of caloric potentials.

math.AP↗

arXiv2015

Hardy Type Inequalities for $Δ_λ$-Laplacians

We derive Hardy type inequalities for a large class of sub-elliptic operators that belong to the class of $Δ_λ$-Laplacians and find explicit values for the constants involved. Our results generalize previous inequalities obtained for Grushin type operators $$ Δ_{x}+ |x|^{2α}Δ_{y},\qquad\ (x,y)\in\mathbb{R}^{N_1}\times\mathbb{R}^{N_2},\ α\geq 0, $$ which were proved to be sharp.

math.AP↗