We derive a mean value property for p-harmonic functions in two dimensions, 1 < p < ∞, which holds asymptotically in the viscosity sense. The formula coincides with the classical mean value property ...

On a bounded domain U in Rd containing the origin, probability measures μ which have a density w with respect to Lebesgue measure and satisfy h(0) = ∫ h d μ for every bounded harmonic function on U ...

Harmonic mappings and logharmonic functions occupy a central role in complex analysis and applied mathematics. Harmonic mappings are functions that satisfy Laplace’s equation and are frequently ...