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Bifurcation analysis of a singular nonlinear Sturm-Liouville equation - MaRDI portal

Bifurcation analysis of a singular nonlinear Sturm-Liouville equation (Q2923453)

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scientific article; zbMATH DE number 6356387
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Bifurcation analysis of a singular nonlinear Sturm-Liouville equation
scientific article; zbMATH DE number 6356387

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    15 October 2014
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    singular Sturm-Liouville equation
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    bifurcation analysis
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    positive solutions
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    Bifurcation analysis of a singular nonlinear Sturm-Liouville equation (English)
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    A voluminous work about the existence of positive solutions for the singular Sturm-Liouville problem NEWLINE\[NEWLINE-(x^{2\alpha}u')' = \lambda u+u^{p}, u>0, u(1) = 0.NEWLINE\]NEWLINE Contrary to other works, the proofs do not rely on the change of variables. The author works directly with the equation.
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