Tomasz Klimsiak

activity

20162024

most citedReduced measures for semilinear elliptic equations involving Dirichlet operators

15 citations · 15 across the 6 of their papers we have counts for

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4 papers · 1 filter

math.AP2024

Poisson equation with measure data, reconstruction formula and Doob classes of processes

Andrzej Rozkosz, Tomasz Klimsiak

We consider the Dirichlet problem for equation involving a general operator associated with a symmetric transient regular Dirichlet form and bounded Borel measure on the right-hand…

math.AP2023

Generalized solutions to semilinear elliptic equations with measure data

Tomasz Klimsiak

We address an open problem posed by H. Brezis, M. Marcus and A.C. Ponce in: Nonlinear elliptic equations with measures revisited. In: Mathematical Aspects of Nonlinear Dispersive E…

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…