Open problems: Applying non-self-adjoint operator techniques to the \(p\)-Laplace non-linear operator in one dimension

DOI10.1007/S00020-011-1933-9zbMATH Open1260.47088OpenAlexW2467419243MaRDI QIDQ1944779

Lyonell Boulton

Publication date: 28 March 2013

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-011-1933-9

zbMATH Keywords

eigenfunctions of \(p\)-Laplacianbasis properties of \(q\)-sine functionsregularity properties of \(q\)-sine functions

Mathematics Subject Classification ID

Problem books (00A07) Nonlinear boundary value problems for ordinary differential equations (34B15) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Applications of operator theory to differential and integral equations (47N20)

Cites Work

• Basis properties of eigenfunctions of the 𝑝-Laplacian
• Approximation properties of the q -sine bases

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