Axiomatic theory of harmonic functions. Non-negative superharmonic functions

DOI10.5802/aif.207zbMath0139.06604OpenAlexW2319720201MaRDI QIDQ2522157

Corneliu Constantinescu, Aurel Cornea, Nicu Boboc

Publication date: 1965

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1965__15_1_283_0

zbMATH Keywords

partial differential equations

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Propriétés fines des fonctions hyperharmoniques dans une théorie axiomatique du potentiel ⋮ Axiomatic theory of harmonic functions. Balayage ⋮ Foundations of Fatou theory and a tribute to the work of E. M. Stein on boundary behavior of holomorphic functions ⋮ Konstruktion von Halbgruppen und Markoffschen Prozessen ⋮ Détermination des axiomatiques de théorie du potentiel dont les fonctions harmoniques sont différentiables ⋮ Uniform approximation of harmonic functions ⋮ Flux in axiomatic potential theory. I: Cohomology ⋮ Flux in axiomatic potential theory. II: Duality ⋮ A propos du mémoire de G.F.Vincent-Smith sur l'approximation des fonctions harmoniques ⋮ Perturbation of harmonic structures and an index-zero theorem ⋮ Nuclearity on harmonic spaces ⋮ Familles additives de cônes convexes et noyaux subordonnes ⋮ On the analytic structure of harmonic groups ⋮ Applications of Choquet simplexes to elliptic and parabolic boundary value problems ⋮ Nuclearity in axiomatic 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
• Axiomatische Behandlung des Dirichletschen Problems für elliptische und parabolische Differentialgleichungen
• Axiomatic theory of harmonic functions. Balayage
• On the axiomatic of harmonic functions. I, II
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