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Infinitely many solutions for the Dirichlet problem on the Sierpiński gasketBreckner, 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 partPublish date - 2011Language - englishCOBISS.SI-ID - 16098649
Author
Breckner, Brigitte E. |
Rǎdulescu, Vicenţiu, 1958- |
Varga, Csaba, 1959-
Topics
matematika |
parcialne diferencialne enačbe |
trikotnik Sierpińskega |
šibki Laplaceov operator |
nelinearna eliptična enačba |
šibka rešitev |
Hausdorffova mera |
atraktor |
mathematics |
partial differential equations |
Sierpiński gasket |
weak Laplace operator |
nonlinear elliptic equation |
weak solution |
Hausdorff measure |
attractor

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Breckner, Brigitte E. | ![]() |
Rǎdulescu, Vicenţiu, 1958- | 29964 |
Varga, Csaba, 1959- | ![]() |
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