FMF, Mathematical Library, Lj. (MAKLJ)
  • Infinitely many solutions for the Dirichlet problem on the Sierpiński gasket
    Breckner, Brigitte E. ; Rǎdulescu, Vicenţiu, 1958- ; Varga, Csaba, 1959-
    We study the nonlinear elliptic equation ▫$\Delta u(x) + a(x)u(x) = g(x) f(u(x))$▫ on the Sierpiński gasket and with zero Dirichlet boundary condition. By extending a method introduced by Faraci and ... Kristály in the framework of Sobolev spaces to the case of function spaces on fractal domains, we establish the existence of infinitely many weak solutions.
    Source: Analysis and applications. - ISSN 0219-5305 (Vol. 9, no. 3, 2011, str. 235-248)
    Type of material - article, component part
    Publish date - 2011
    Language - english
    COBISS.SI-ID - 16098649

source: Analysis and applications. - ISSN 0219-5305 (Vol. 9, no. 3, 2011, str. 235-248)

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