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Repeated \(S\)-shaped and \(\Sigma\)-shaped bifurcation curves for the one-dimensional non-autonomous Minkowski-curvature problem - MaRDI portal

Repeated \(S\)-shaped and \(\Sigma\)-shaped bifurcation curves for the one-dimensional non-autonomous Minkowski-curvature problem (Q6597319)

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scientific article; zbMATH DE number 7905812
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English
Repeated \(S\)-shaped and \(\Sigma\)-shaped bifurcation curves for the one-dimensional non-autonomous Minkowski-curvature problem
scientific article; zbMATH DE number 7905812

    Statements

    Repeated \(S\)-shaped and \(\Sigma\)-shaped bifurcation curves for the one-dimensional non-autonomous Minkowski-curvature problem (English)
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    3 September 2024
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    The authors study the multiplicity of positive solutions for one-dimensional non-autonomous Minkowski-curvature problems. They give a sufficient condition to guarantee repeated \(S\)-shaped and repeated \(\Sigma\)-shaped global unbounded continua of positive solutions for the superlinear and sublinear nonlinearities which is new even for autonomous cases.
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    Minkowski-curvature problems
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    bifurcation curve
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    positive solution
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    multiplicity
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    non-autonomous
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