A. Grigor’yan

activity

20102026

most citedExistence of positive solutions to some nonlinear equations on locally finite graphs

108 citations · 294 across the 20 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.AP2015★ 22 cited

Pointwise estimates of solutions to semilinear elliptic equations and inequalities

Alexander Grigor'yan, Igor Verbitsky

We obtain sharp pointwise estimates for positive solutions to the equation $- Lu + V u^{q} = f$ , where $L$ is an elliptic operator in divergence form, $q \in R ∖ {0}$ , $f\g…

math.PR2015

Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula

Alexander Grigor'yan, Naotaka Kajino

We prove that for a general diffusion process, certain assumptions on its behavior \emph{only within a fixed open subset} of the state space imply the existence and sub-Gaussian ty…