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20102026
most citedDirichlet forms and semilinear elliptic equations with measure data

53 citations · 157 across the 23 of their papers we have counts for

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math.AP2023★ 6 cited

Dirichlet problem for semilinear partial integro-differential equations: the method of orthogonal projection

Tomasz Klimsiak, Andrzej Rozkosz

We study the Dirichlet problem for semilinear equations on general open sets with measure data on the right-hand side and irregular boundary data. For this purpose we develop the c…

math.AP2023

Reflected Skorokhod equations and the Neumann boundary value problem for elliptic equations with Levy-type operators

Andrzej Rozkosz, Leszek Slominski

We consider Neumann problem for linear elliptic equations involving integro-differential operators of Levy-type. We show that suitably defined viscosity solutions have probabilisti…