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The comparison principle and Dirichlet problem in the class E<sub>p</sub>(f), p&gt;0

The comparison principle and Dirichlet problem in the class E<sub>p</sub>(f), p&gt;0

We establish the comparison principle in the class ${\mathcal E}_p(f)$. The result obtained is applied to the Dirichlet problem in ${\mathcal E}_p(f)$.