Estimates of the principal eigenvalue of the \(p\)-biharmonic operator

DOI10.1016/j.na.2012.04.055zbMath1244.35096OpenAlexW2009029421MaRDI QIDQ435122

Pavel Drábek, Jiří Benedikt

Publication date: 16 July 2012

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.2012.04.055

zbMATH Keywords

eigenvalue problem for p-biharmonic operatorestimates of principal eigenvalue subject to Navier boundary conditions

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) Variational methods for eigenvalues of operators (49R05) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items

Multiple solutions on a \(p\)-biharmonic equation with nonlocal term ⋮ Asymptotics for the principal eigenvalue of the \(p\)-biharmonic operator on the ball as \(p\) approaches 1 ⋮ The Rellich inequality ⋮ On principal eigenvalues of biharmonic systems ⋮ Unnamed Item ⋮ Lichnerowicz-type estimates for the first eigenvalue of biharmonic operator ⋮ Existence and Asymptotic Behavior of Beam-Equation Solutions with Strong Damping and p(x)-Biharmonic Operator ⋮ Uniqueness of weak solutions for a biharmonic problem ⋮ Positive radial solutions for quasilinear biharmonic equations ⋮ Multiplicity results for solutions of \(p\)-biharmonic problems ⋮ Multiple solutions for fourth order elliptic problems with p(x)-biharmonic operators ⋮ Positive supersolutions of fourth-order nonlinear elliptic equations: explicit estimates and Liouville theorems ⋮ An exact estimate result for \(p\)-biharmonic equations with Hardy potential and negative exponents ⋮ Eigenvalues for a fourth order elliptic problem ⋮ On a fourth order elliptic problem with a \(p(x)\)-biharmonic operator ⋮ Asymptotic formulae for \(s\)-numbers of a Sobolev embedding and a Volterra type operator

Cites Work

• Estimates of the principal eigenvalue of the \(p\)-Laplacian
• A Picone's identity for the p-Laplacian and applications
• Unnamed Item
• Unnamed Item

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