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Results tagged with potential-theory
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user 58975
3
votes
Convergence in energy of bounded (semi)subharmonic functions
I'm reporting an example, presented to me by Bozhidar Velichkov, showing that the answer to my question is no.
The example is based on a construction by Cioranescu-Murat given in their paper "Un ter …
- 660
5
votes
1
answer
324
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Convergence in energy of bounded (semi)subharmonic functions
Consider a sequence $(f_n)$ of functions in the flat torus $T^d$ converging Lebesgue-a.e. to a limit function $f$.
Assume that:
1) $|f_n|(x)\leq 1$ for every $n,x$
2) $\Delta f_n\geq -1$ in the sen …
- 660