Complete continuity and Fréchet derivatives of nodes in potentials for one-dimensional $p$-Laplacian (Q6664039)

scientific article; zbMATH DE number 7967933

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English	Complete continuity and Fréchet derivatives of nodes in potentials for one-dimensional $p$-Laplacian	scientific article; zbMATH DE number 7967933

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title

Complete continuity and Fréchet derivatives of nodes in potentials for one-dimensional $p$-Laplacian (English)

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Journal of Differential Equations

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publication date

15 January 2025

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zbMATH Keywords

complete continuity

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Fréchet derivatives

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nodes

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one-dimensional $p$-Laplacian

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Publication

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cites work

Sturm--Liouville theory for the p-Laplacian

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Half-eigenvalues of periodic Sturm--Liouville problems

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The spectrum of the periodic $p$-Laplacian

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Variational and non-variational eigenvalues of the $p$-Laplacian

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On the Fučík spectrum of the scalar $p$-Laplacian with indefinite integrable weights

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Complete structure of the Fučík spectrum of the $p$-Laplacian with integrable potentials on an interval

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The inverse nodal problem for Hill's equation

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Minimization of lowest positive periodic eigenvalue for the Camassa–Holm equation with indefinite potential

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Sharp bounds for Dirichlet eigenvalue ratios of the Camassa-Holm equations

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Optimization problems on nodes of Sturm-Liouville operators with $L^p$ potentials

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Continuity and minimization of spectrum related with the periodic Camassa-Holm equation

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Minimizations of positive periodic and Dirichlet eigenvalues for general indefinite Sturm-Liouville problems

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The Fredholm alternative at the first eigenvalue for the one dimensional $p$-Laplacian

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Global bifurcation from the eigenvalues of the $p$-Laplacian

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Sharp bounds of nodes for Sturm-Liouville equations

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On the dependence of nodes of Sturm-Liouville problems on potentials

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A variational approach to the optimal locations of the nodes of the second Dirichlet eigenfunctions

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Solution of inverse nodal problems

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Inverse problems: recovery of BV coefficients from nodes

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Some remarkable sine and cosine functions

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On the Fredholm Alternative for the <i>p</i> -Laplacian in One Dimension

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Analytical Methods for Recovering Coefficients in Differential Equations from Spectral Data

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Inverse spectral theory using nodal points as data - A uniqueness result

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Minimization of eigenvalues of one-dimensional $p$-Laplacian with integrable potentials

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MAXIMIZATION OF EIGENVALUES OF ONE-DIMENSIONAL p-LAPLACIAN WITH INTEGRABLE POTENTIALS

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Continuity in weak topology: first order linear systems of ODE

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Extremal values of eigenvalues of Sturm-Liouville operators with potentials in $L^1$ balls

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Continuity in weak topology and extremal problems of eigenvalues of the $p$-Laplacian

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Q3706043

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THE ROTATION NUMBER APPROACH TO EIGENVALUES OF THE ONE-DIMENSIONAL <i>p</i>-LAPLACIAN WITH PERIODIC POTENTIALS

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The rotation number approach to the periodic Fučik spectrum

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Continuity in weak topology: higher order linear systems of ODE

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Extremal values of smallest eigenvalues of Hill's operators with potentials in $L^1$ balls

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JDE.2024.11.008

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Sitelinks

Mathematics(1 entry)

mardi Publication:6664039

Complete continuity and Fréchet derivatives of nodes in potentials for one-dimensional \(p\)-Laplacian (Q6664039)

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Sitelinks

Mathematics(1 entry)