Sturm--Liouville theory for the p-Laplacian
Copyright policy )Sturm--Liouville theory for the p-Laplacian
A version of Sturm--Liouville theory is given for the one-dimensional p-Laplacian including the radial case. The treatment is modern but follows the strategy of Elbert's early work. Topics include a Prüfer-type transformation, eigenvalue existence, asymptotics and variational principles, and eigenfunction oscillation.
- University of Calgary Canada
- University of West Bohemia Czech Republic
Sturm-Liouville theory, half-linear equations, Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, eigenvalue problem, General spectral theory of ordinary differential operators, \(p\)-Laplacian, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, Prüfer transformation
Sturm-Liouville theory, half-linear equations, Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, eigenvalue problem, General spectral theory of ordinary differential operators, \(p\)-Laplacian, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, Prüfer transformation
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