On the axiomatic of harmonic functions. I, II

DOI10.5802/aif.150zbMath0122.34001OpenAlexW2333638108MaRDI QIDQ2626841

Aurel Cornea, Corneliu Constantinescu

Publication date: 1963

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1963__13_2_373_0

zbMATH Keywords

partial differential equations

Related Items

The strong maximum principle and the Harnack inequality for a class of hypoelliptic non-Hörmander operators ⋮ On the existence of Evans potentials ⋮ Remarques axiomatiques sur les points-frontière irréguliers dans le problème de Dirichlet ⋮ The equivalence of Harnack's principle and Harnack's inequality in the axiomatic system of Brelot ⋮ Applications of nonstandard analysis to ideal boundaries in potential theory ⋮ Axiomatic theory of harmonic functions. Non-negative superharmonic functions ⋮ Die Harnacksche Metrik in der Theorie der harmonischen Funktionen ⋮ An axiomatic treatment of pairs of elliptic differential equations ⋮ The Martin boundaries of equivalent sheaves ⋮ Espaces harmoniques sans potentiel positif. (Harmonic spaces without positive potential) ⋮ Topological countability in Brelot potential theory

Cites Work

• Lectures on potential theory. Notes by K. N. Gowrisankaran and M. K. Venkatesha Murthy
• Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel
• On the Dirichlet Problem in the Axiomatic Theory of Harmonic Functions