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On a Condition for the Nonexistence of W-Solutions of Nonlinear High-Order Equations with L¹ -Data

  • Alexander A Kovalevsky [1] ; Francesco Nicolosi [2]
    1. [1] Institute of Applied Mathematics and Mechanics

      Institute of Applied Mathematics and Mechanics

      Ucrania

    2. [2] University of Catania

      University of Catania

      Catania, Italia

  • Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 14, Nº. 2, 2012, págs. 175-182
  • Idioma: inglés
  • DOI: 10.4067/S0719-06462012000200009
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  • Referencias bibliográficas
    • Benilán, Ph,Boccardo, L,Gallouët, T,Gariepy, R,Pierre, M,Vazquez, J.L. (1995). An L¹ -theory of existence and uniqueness of solutions of nonlinear...
    • Dunford, N,Schwartz, J.T. (1988). Linear operators: Part I. General theory. John Wiley & Sons, Inc. New York.
    • Kovalevskii, A.A. (2001). Entropy solutions of the Dirichlet problem for a class of non-linear elliptic fourth-order equations with right-hand...
    • Kovalevsky, A. (2002). Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with data. Nelinejnye...
    • Kovalevsky, A,Nicolosi, F. (2001). Solvability of Dirichlet problem for a class of degenerate nonlinear high-order equations with data. Nonlinear...
    • Kovalevsky, A,Nicolosi, F. (2002). Existence of solutions of some degenerate nonlinear elliptic fourth-order equations with data. Appl. Anal....
    • Lions, J.-L. (1969). Quelques methodes de resolution des problemes aux limites non lineaires. Dunod, Gauthier-Villars. Paris.
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