Quasi-regular Dirichlet forms and the obstacle problem for elliptic equations with measure data

Tomasz Klimsiak

doi:10.4064/sm190716-11-5

Quasi-regular Dirichlet forms and the obstacle problem for elliptic equations with measure data

Tomasz Klimsiak

Open Access

https://doi.org/10.4064/sm190716-11-5

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Journal: Studia Mathematica	Publication Date: Jan 1, 2021
Citations: 4

Affiliation: Nicolaus Copernicus University

#Quasi-regular Dirichlet Form #Obstacle Problem + Show 8 more

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Abstract

We consider the obstacle problem with irregular barriers for semilinear elliptic equations involving measure data and an operator corresponding to a general quasi-regular Dirichlet form. We prove existence and uniqueness of a solution as well as its repre

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