Asymptotics for the principal eigenvalue of the \(p\)-biharmonic operator on the ball as \(p\) approaches 1

DOI10.1016/J.NA.2013.10.016zbMath1281.35061OpenAlexW2052552253MaRDI QIDQ2637058

Jiří Benedikt, Pavel Drábek

Publication date: 18 February 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.10.016

zbMATH Keywords

asymptotic analysisspecial functionsPoincaré constantestimates of principal eigenvalue subject to Navier boundary conditionseigenvalue problem for \(p\)-biharmonic operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Nonlinear elliptic equations (35J60) Variational methods for eigenvalues of operators (49R05) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (3)

On principal eigenvalues of biharmonic systems ⋮ A critical \(p\)-biharmonic system with negative exponents ⋮ On a class of critical \(p\)-biharmonic Kirchhoff type problems with indefinite weights

Cites Work

• Estimates of the principal eigenvalue of the \(p\)-biharmonic operator
• Continuous dependence of eigenvalues of \(p\)-biharmonic problems on \(p\)
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