Global bifurcation from Fučik spectrum (Q1589938)

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scientific article; zbMATH DE number 1544948
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Global bifurcation from Fučik spectrum
scientific article; zbMATH DE number 1544948

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    Global bifurcation from Fučik spectrum (English)
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    19 October 2001
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    The author deals with boundary value problems for the one dimensional \(p\)-Laplacian operator of the type \[ ((\phi)_p(u'))'+a(\phi)_p(u^+)-b(\phi)_p(u^-)+g(t,u,u')=0, \quad u(0)=0=u(\pi). \] He relies on an application of a multiparameter bifurcation theorem to prove the existence of global bifurcating sets of solutions.
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    multiparameter bifurcation
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    one-dimensional \(p\)-Laplacian operator
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    Fucik spectrum
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