Tomasz Klimsiak

most citedReduced measures for semilinear elliptic equations involving Dirichlet operators

15 citations · 15 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2022

A priori estimates for multidimensional BSDEs with integrable data

Tomasz Klimsiak, Maurycy Rzymowski

We study Backward Stochastic Differential Equations on a probability space equipped with a Brownian filtration. We assume that the terminal value and the generator at zero are mere…

math.AP2016

Semilinear elliptic equations with Dirichlet operator and singular nonlinearities

Tomasz Klimsiak

In the paper we consider elliptic equations of the form $- A u = u^{- γ} \cdot μ$ , where $A$ is the operator associated with a regular symmetric Dirichlet form, $μ$ is a positive nontrivi…

math.AP2016★ 15 cited

Reduced measures for semilinear elliptic equations involving Dirichlet operators

Tomasz Klimsiak

We consider elliptic equations of the form (E) $- A u = f (x, u) + μ$ , where $A$ is a negative definite self-adjoint Dirichlet operator, $f$ is a function which is continuous and nonincrea…