Tomasz Klimsiak

activity

20092026

most citedDirichlet forms and semilinear elliptic equations with measure data

53 citations · 217 across the 49 of their papers we have counts for

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Showing 2013 · math.APShow all

3 papers · 2 filters

math.AP2013★ 15 cited

Semilinear elliptic equations with measure data and quasi-regular Dirichlet forms

Tomasz Klimsiak, Andrzej Rozkosz

We are mainly concerned with equations of the form $- Lu = f (x, u) + μ$ , where $L$ is an operator associated with a quasi-regular possibly nonsymmetric Dirichlet form, $f$ satisfies the…

math.AP2013

Semilinear elliptic systems with measure data

Tomasz Klimsiak

We study the Dirichlet problem for systems of the form -Δu^k=f^k(x,u)+μ^k, x\inΩ, k=1,...,n, where Ω\subset R^d$ is an open (possibly nonregular) bounded set, μ^1,...,μ^n are bound…

math.AP2013★ 13 cited

Obstacle problem for semilinear parabolic equations with measure data

Tomasz Klimsiak, Andrzej Rozkosz

We consider the obstacle problem with two irregular reflecting barriers for the Cauchy-Dirichlet problem for semilinear parabolic equations with measure data. We prove the existenc…