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This section surveys 31 Potential theory and highlights the main ideas, methods, and applications associated with the area.
This subtopic studies two-dimensional potential theory, focusing on harmonic functions, Green functions, and boundary behavior in the plane.
This subtopic studies higher-dimensional potential theory, extending classical harmonic and potential methods to spaces of larger dimension.
This subtopic studies other generalizations of potential theory, including abstract and nonclassical settings where classical kernels are generalized.
This subtopic studies axiomatic potential theory, developing potential theory from abstract axioms rather than only from Euclidean models.
This subtopic studies potential theory on fractals and metric spaces, where geometry is irregular and analytic tools must adapt to non-smooth structure.