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math.AP2026
Variational Estimates for Nonnegative Harmonic Functions
Jakob Fromherz
Consider a nonnegative harmonic function on a domain . We establish boundedness of Jones' variational integral on an ultradense, dimensional sub…
math.AP2025
Bounding Radial Variation of positive harmonic Functions on Lipschitz Domains
Jakob Fromherz, Paul F. X. Müller, Katharina Riegler
We provide radial variational estimates for positive harmonic functions on Lipschitz domains in higher dimensions. The intention of this paper is to document an updated and refined…