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Solutions to the prescribed mean curvature equation

  • Amster, Pablo [1] ; De Nápoli, P. [1] ; Mariani, M. C. [1]
    1. [1] Universidad de Buenos Aires

      Universidad de Buenos Aires

      Argentina

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 18, Nº. 2, 1999, págs. 155-164
  • Idioma: inglés
  • DOI: 10.22199/S07160917.1999.0002.00003
  • Enlaces
  • Resumen
    • We apply variational methods in order to prove that the nonlinear system (1) admits at least one regular solution.

  • Referencias bibliográficas
    • Citas [1] Amster P. Mariani, M. C., Rial, D. F. : Existence and uniqueness of H-System's solutions with Dirichlet conditions. To appear...
    • [2] Bethuel, F. : Un résultat de regularité pour les solutions de l'equation des surfaces à courboure moyenne prescrite. R. Acad. Sci....
    • [3] Brezis, H., Coron, J., Multiple Solutions of H-Systems and Rellich's conjecture. Comm. Pure Appl. Math 37, pp. 149- 187, (1984).
    • [4] Chanillo S. , Li Y. : Continuity of Solutions of Uniformly Elliptic Equations in R2 . Manuscripta math. 77, pp. 415-433, (1992).
    • [5] Gilbarg, D., Trudinger N. : Elliptic Partial Differential Equations of Second Order. Springer-Verlag (1977).
    • [6] Osserman, R. : A Survey of Minimal Surfaces. Van Nostrand Reinhold Company, ( 1969).
    • [7] Struwe, M.: Variational Methods, Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems, Springer-Verlag, pp....
    • [8] Wente, H. : An Existence Theorem for Surfaces of Constant Mean Curvature. Journal of Mathematical Analysis and Applications 26, pp. 318-344,...
    • [9] Wente, H. : The differential equation ΔX = 2H(Xu Λ Xv) with vanishing boundary values. Proceedings of the American Mathematical Society...

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