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Showing 1 to 4 of 4 for “"Eigencurve"”.
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Variational Methods for p-Laplacian Sturm-Liouville Problems
In this work we address the problem of eigencurves for the p-Laplacian operator on [0,1]. First we examine the simple case where p=2. Next, we prove the existence and several properties of the first eigencurve and its corresponding eigenfunction. In chapters 4 and 5, the nonhomogeneous case is …
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Characterizing Eigencurves for Differential Equations
… variational methods may be used to describe an eigencurve
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p-adic L-functions and the Geometry of Hida Families
… in this vein for the ordinary part of the eigencurve (i.e. Hida families). We address how Taylor expansions of one variable $p$-adic $L$-functions varying over families can detect geometric phenomena: crossing components of a certain intersection multiplicity and ramification over the …
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Curve Sketching
This paper serves as an extension of Eigencurves for Two-Parameter Sturm-Liouville Equations by Binding and Volkmer. Facts about specific sequences of eigenvalues of linear equations developed in Bases and Comparison Results for Linear Elliptic Eigenproblems by Auchmuty are used in order to …