A Mean Value Theorem in Generalized Bi-Axially Symmetric Potential Theory

Dennis W. Quinn; Richard J. Weinacht

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1974)

  • Volume: 56, Issue: 4, page 446-450
  • ISSN: 0392-7881

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Quinn, Dennis W., and Weinacht, Richard J.. "A Mean Value Theorem in Generalized Bi-Axially Symmetric Potential Theory." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 56.4 (1974): 446-450. <http://eudml.org/doc/293766>.

@article{Quinn1974,
author = {Quinn, Dennis W., Weinacht, Richard J.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {4},
number = {4},
pages = {446-450},
publisher = {Accademia Nazionale dei Lincei},
title = {A Mean Value Theorem in Generalized Bi-Axially Symmetric Potential Theory},
url = {http://eudml.org/doc/293766},
volume = {56},
year = {1974},
}

TY - JOUR
AU - Quinn, Dennis W.
AU - Weinacht, Richard J.
TI - A Mean Value Theorem in Generalized Bi-Axially Symmetric Potential Theory
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1974/4//
PB - Accademia Nazionale dei Lincei
VL - 56
IS - 4
SP - 446
EP - 450
LA - eng
UR - http://eudml.org/doc/293766
ER -

References

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  1. DIAZ, J. B. and LESCHEN, J. G. (1973) - A remark on a mean value theorem of Alexander Weinstein in generalized Axially Symmetric Potential Theory, «Bull. Austral. Math. Soc.», 9, 1-9. Zbl0257.35069MR374709DOI10.1017/S0004972700042805
  2. ERDELYI, A., et. al (1953) - Higher transcendental functions I, McGraw-Hill, New York. Zbl0051.30303
  3. FICHERA, GAETANO (1949) - Proprietà di media toroidali delle funzioni armoniche, «Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis., Mat. e Nat.», (8), 6, 431-435. Zbl0034.36301MR34915
  4. HALL, N. S., QUINN, D. W. and WEINACHT, R. J. - Poisson integral formulas in generalized bi-axidlly symmetric potential theory, «SIAM J. Math. Anal.» (to appear). MR338408DOI10.1137/0505012
  5. HUBER, A. (1955) - Some results on generalized axially symmetric potentials, Proc. Conf. Partial Diff. Eqs., University of Maryland, 147-155. MR83050
  6. KAPILEVICH, M. B. (1959) - The theory of linear differential equations with two perpendicular lines of parabolicity , «Dokl. Akad. Nauk SSSR», 125, 251-254. Zbl0104.07901MR114997
  7. KAPILEVICH, M. B. (1960) - Mean value theorems for solutions of singular elliptic differential equations, «Izv. Vyss. Ucebn. Zaved. Mathematicka», 6 (19), 114-125. MR176208
  8. KAPILEVICH, M. B. (1959) - Uniqueness theorems of singular Dirichlet-Neumann problems, «Kokl. Akad. Nauk SSSR», 125, 23-26. Zbl0104.07803MR109932
  9. LESCHEN, J. G. (1971) - On mean value theorems and their converses for the partial differential equation φ x ⁢ x + φ y ⁢ y + p y ⁢ φ y = 0 ′′ , Ph. D. Dissertation, Rensselaer Polytechnic Institute, Troy, New York. MR2621491
  10. QUINN, D. W. and WEINACHT, R. J. - Boundary value problems in generalized bi-axially symmetric potential theory, to appear. Zbl0287.35047MR414903DOI10.1016/0022-0396(76)90020-6
  11. WEINACHT, R. J. (1965) - A mean value theorem in generalized axially symmetric potential theory, «Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.», (8) 38, 610-613. Zbl0141.09702MR193257
  12. WEINSTEIN, A. (1948) - Discontinuous integrals and generalized potential theory, «Trans. Am. Math. Soc.», 63. MR25023DOI10.2307/1990434
  13. WEINSTEIN, A. (1953) - Generalized axially symmetric potential theory, «Bull. Am. Math. Soc.», 59, 20-38. Zbl0053.25303MR53289DOI10.1090/S0002-9904-1953-09651-3

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