Mapping for elliptic equations
HTML articles powered by AMS MathViewer
- by J. J. Gergen and F. G. Dressel
- Trans. Amer. Math. Soc. 77 (1954), 151-178
- DOI: https://doi.org/10.1090/S0002-9947-1954-0063533-2
- PDF | Request permission
References
- Shmuel Agmon and Lipman Bers, The expansion theorem for pseudo-analytic functions, Proc. Amer. Math. Soc. 3 (1952), 757–764. MR 57349, DOI 10.1090/S0002-9939-1952-0057349-4
- Lipman Bers, Partial differential equations and generalized analytic functions, Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 130–136. MR 36852, DOI 10.1073/pnas.36.2.130
- Jesse Douglas, Solution of the problem of Plateau, Trans. Amer. Math. Soc. 33 (1931), no. 1, 263–321. MR 1501590, DOI 10.1090/S0002-9947-1931-1501590-9
- Griffith C. Evans, Complements of Potential Theory. Part II, Amer. J. Math. 55 (1933), no. 1-4, 29–49. MR 1506942, DOI 10.2307/2371108 —, Fundamental points of potential theory, Rice Institute Pamphlets, vol. 7, No. 4 (1920) pp. 252-329.
- J. J. Gergen and F. G. Dressel, Mapping by $p$-regular functions, Duke Math. J. 18 (1951), 185–210. MR 50019
- J. J. Gergen and F. G. Dressel, Uniqueness for $p$-regular mapping, Duke Math. J. 19 (1952), 435–444. MR 50020 E. Goursat, Cours d’analyse mathématique, Paris, vol. 3, 1923. Oliver Dimon Kellogg, Foundations of potential theory, Berlin, 1929.
- Charles B. Morrey Jr., On the solutions of quasi-linear elliptic partial differential equations, Trans. Amer. Math. Soc. 43 (1938), no. 1, 126–166. MR 1501936, DOI 10.1090/S0002-9947-1938-1501936-8 L. Tonelli, Sulla quadratura della superficie, Atti della Reale Accademia dei Lincei (6) vol. 3 (1926) pp. 357-362, 445-450, 633-638, 714-719.
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 77 (1954), 151-178
- MSC: Primary 35.0X
- DOI: https://doi.org/10.1090/S0002-9947-1954-0063533-2
- MathSciNet review: 0063533