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31Axx - Two-dimensional theory

31A05 - Harmonic, subharmonic, superharmonic functions
31A10 - Integral representations, integral operators, integral equations methods
31A15 - Potentials and capacity, harmonic measure, extremal length
31A20 - Boundary behavior (theorems of Fatou type, etc.)
31A25 - Boundary value and inverse problems
31A30 - Biharmonic, polyharmonic functions and equations, Poisson's equation
31A35 - Connections with differential equations
31A99 - Miscellaneous
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