Sequences of obstacle problems for Dirichlet forms (Q1906537)

In the paper sequences of obstacle problems for general Dirichlet forms of diffusion type are considered. Applying some results from \(\Gamma\)-convergence and increasing set functions theory on one hand and from potential theory in general Dirichlet spaces on the other hand the author proves a compactness theorem in a properly defined class of functionals including the obstacle functionals. Then some result on the integral representation in the same functional class is given and finally the main theorem concerning the general limit form for a sequence of obstacle problems is presented.