Axiomatic theory of harmonic functions. Non-negative superharmonic functions

Nicu Boboc; Corneliu Constantinescu; A. Cornea

Annales de l'institut Fourier (1965)

  • Volume: 15, Issue: 1, page 283-312
  • ISSN: 0373-0956

How to cite

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Boboc, Nicu, Constantinescu, Corneliu, and Cornea, A.. "Axiomatic theory of harmonic functions. Non-negative superharmonic functions." Annales de l'institut Fourier 15.1 (1965): 283-312. <http://eudml.org/doc/73864>.

@article{Boboc1965,
author = {Boboc, Nicu, Constantinescu, Corneliu, Cornea, A.},
journal = {Annales de l'institut Fourier},
keywords = {partial differential equations},
language = {eng},
number = {1},
pages = {283-312},
publisher = {Association des Annales de l'Institut Fourier},
title = {Axiomatic theory of harmonic functions. Non-negative superharmonic functions},
url = {http://eudml.org/doc/73864},
volume = {15},
year = {1965},
}

TY - JOUR
AU - Boboc, Nicu
AU - Constantinescu, Corneliu
AU - Cornea, A.
TI - Axiomatic theory of harmonic functions. Non-negative superharmonic functions
JO - Annales de l'institut Fourier
PY - 1965
PB - Association des Annales de l'Institut Fourier
VL - 15
IS - 1
SP - 283
EP - 312
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/73864
ER -

References

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  1. [1] H. BAUER, Axiomatische Behandlung des Dirichletschen Problems für elliptische und parabolische Differentialgleichungen, Math. Annalen, 146 (1962), 1-59. Zbl0107.08003
  2. [2] N. BOBOC, C. CONSTANTINESCU, A. CORNEA, Sur le problème de Dirichlet dans l'axiomatique des fonctions harmoniques, Comptes rendus Acad. Sci., Paris, 256 (1963), 2754-2757. Zbl0117.07602
  3. [3] N. BOBOC, C. CONSTANTINESCU, A. CORNEA, Axiomatic theory of harmonic functions. Balayage, Ann. Inst. Fourier (to appear). Zbl0138.36603
  4. [4] M. BRELOT, Axiomatique des fonctions harmoniques et surharmoniques dans un espace localement compact, Séminaire de théorie du potentiel (Séminaire Brelot-Choquet-Deny), 2 (1958) No. 1, 40 pages. 
  5. [5] M. BRELOT, Lectures on potential theory, Tata Institute of Fundamental Research, Bombay (1960). Zbl0098.06903
  6. [6] C. CONSTANTINESCU, A. CORNEA, On the axiomatic of harmonic functions I, Ann. Inst. Fourier, 13 (1964), 373-388. Zbl0122.34001
  7. [7] J. L. DOOB, Probability methods applied to the first boundary value problem, Proc. 3rd Berkeley Symp. on Math. Stat. and Prob. 1954-1955 (1956), 49-80. Zbl0074.09101
  8. [8] R.-M. HERVÉ, Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel, Ann. Inst. Fourier, 12 (1962), 415-571. Zbl0101.08103

Citations in EuDML Documents

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  1. Josef Král, Jeden příklad harmonického svazku
  2. Gabriel Mokobodzki, Cônes normaux et espaces nucléaires. Cônes semi-complets
  3. Josef Král, Jaroslav Lukeš, Ivan Netuka, Elliptic points in one-dimensional harmonic spaces
  4. Gabriel Mokobodzki, Daniel Sibony, Familles additives de cônes convexes et noyaux subordonnés
  5. Nicu Boboc, Corneliu Constantinescu, A. Cornea, Axiomatic theory of harmonic functions. Balayage
  6. Jean-Michel Bony, Détermination des axiomatiques de théorie du potentiel dont les fonctions harmoniques sont différentiables
  7. Arnaud de La Pradelle, Approximation des fonctions harmoniques à l'aide d'un théorème de G. F. Vincent-Smith
  8. Bertram Walsh, Perturbation of harmonic structures and an index-zero theorem
  9. G. F. Vincent-Smith, Uniform approximation of harmonic functions
  10. Bertram Walsh, Flux in axiomatic potential theory. II. Duality

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