Bibliography for Liouville's Theorem

unabridged

 

  1. The Liouville-Arnold-Nekhoroshev theorem for non-compact invariant manifolds
    Fiorani E.; Giachetta G.; Sardanashvily G.
    Journal of Physics A: Mathematical and General, 2003, vol. 36, no. 7, pp. L101-L107(1), Ingenta.  
  2. Liouville theorem and coupling on negatively curved Riemannian manifolds
    Wang F.-Y.
    Stochastic Processes and their Applications, July 2002, vol. 100, no. 1, pp. 27-39(13), Ingenta.  
  3. A Theorem of Liouville Type for Harmonic Morphisms
    Choi G.; Yun G.
    Geometriae Dedicata, February 2001, vol. 84, no. 1/3, pp. 179-182(4), Ingenta.  
  4. Harmonic Liouville Theorem for Exterior Domains
    Nakai M.; Tada T.
    Journal of Mathematical Analysis and Applications, January 2001, vol. 253, no. 1, pp. 269-273(5), Ingenta.  
  5. A Liouville-Type Theorem for Harmonic Functions on Exterior Domains
    Cammaroto F.; Chinnì A.
    Journal of Mathematical Analysis and Applications, April 2000, vol. 244, no. 1, pp. 1-9(9), Ingenta.  
  6. Liouville's Theorem and the Restricted Mean Value Property in the Plane
    Hansen W.
    Journal des Mathematiques Pures et Appliquees, November 1998, vol. 77, no. 9, pp. 943-947(5), Ingenta.  
  7. A Liouville-Type Theorem for Strongly Subharmonic Functions on Complete Non-compact Riemannian Manifolds and Some Applications
    LEUNG P-F.
    Geometriae Dedicata, July 1997, vol. 66, no. 2, pp. 159-162(4), Ingenta.  
  8. A Lot of "Counterexamples" to Liouville's Theorem
    Bernal-Gonzalez L.
    Journal of Mathematical Analysis and Applications, August 1996, vol. 201, no. 3, pp. 1002-1009(8), Ingenta.  
  9. A Liouville Theorem for Harmonic Maps  
    Ying Shen  
    American Journal of Mathematics, Vol. 117, No. 3. (Jun., 1995), pp. 773-785, Jstor.  
  10. A Liouville theorem on an analytic space.  
    Takegoshi, Kensh  
    J. Math. Soc. Japan 45 (1993), no. 2, 301--311, MathSciNet.  
  11. Über eine Erweiterung des Liouvilleschen Satzes. (German) [On an extension of Liouville's theorem]  
    Hoy, E.  
    Z. Anal. Anwendungen 10 (1991), no. 3, 385--390, MathSciNet.  
  12. A Note on Liouville's Theorem (in Notes)  
    A. Lenard  
    American Mathematical Monthly, Vol. 93, No. 3. (Mar., 1986), pp. 200-201, Jstor.  
  13. Liouville theorems.  
    Wu, H.
    Complex analysis, III (College Park, Md., 1985--86), 331--349, Lecture Notes in Math., 1277, Springer, Berlin, 1987, MathSciNet.  
  14. On Liouville's theorem for locally quasiregular mappings in R^n.  
    Lindqvist, Peter
    Israel J. Math. 47 (1984), no. 4, 291--295, MathSciNet.  
  15. A priori estimates and a Liouville theorem for complex Monge-Ampère equations.  
    Riebesehl, Dieter; Schulz, Friedmar
    Math. Z. 186 (1984), no. 1, 57--66, MathSciNet.  
  16. Liouville's theorem for generalized analytic functions of several complex variables. (Russian)  
    Safarov, D.  
    Mat. Zametki 31 (1982), no. 1, 33--40, 157, MathSciNet.  
  17. Integration in Finite Terms: The Liouville Theory  
    Toni Kasper  
    Mathematics Magazine, Vol. 53, No. 4. (Sep., 1980), pp. 195-201, Jstor.  
  18. Theorems of the type of Liouville's theorem. (Russian)  
    Mustafin, R. F.
    Mat. Zametki 25 (1979), no. 1, 97--105, 159, MathSciNet.  
  19. A Liouville Theorem for Abstract Wiener Spaces  
    Victor Goodman  
    American Journal of Mathematics, Vol. 95, No. 1. (Spring, 1973), pp. 215-220, Jstor.  
  20. On Liouville's Theorem for Biharmonic Functions  
    R. R. Huilgol  
    SIAM Journal on Applied Mathematics, Vol. 20, No. 1. (Jan., 1971), pp. 37-39, Jstor.  
  21. Liouville's theorem for generalized analytic functions. (Russian)  
    Vinogradov, V. S.
    Dokl. Akad. Nauk SSSR 183 1968 503--506, MathSciNet.  
  22. Mathematical Pearls: A Proof of Liouville's Theorem  
    Edward Nelson  
    Proceedings of the American Mathematical Society, Vol. 12, No. 6. (Dec., 1961), p. 995, Jstor.  
  23. Generalization of Liouville's theorem. (Russian)  
    Leont'ev, A. F.
    Mat. Sbornik N.S. 31(73), (1952). 201--208, MathSciNet.  
  24. Systems of Total Differential Equations and Liouville's Theorem on Conformal Mappings  
    Philip Hartman  
    American Journal of Mathematics, Vol. 69, No. 2. (Apr., 1947), pp. 327-332, Jstor.  

 

 

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(c) John H. Mathews 2003