Asymptotics for the principal eigenvalue of the \(p\)-biharmonic operator on the ball as \(p\) approaches 1. (English) Zbl 1281.35061

Summary: Using the estimates of the principal eigenvalue of the \(p\)-biharmonic operator on the ball from below and from above, we provide its asymptotic analysis as \(p\to 1_+\).


35P15 Estimates of eigenvalues in context of PDEs
35J66 Nonlinear boundary value problems for nonlinear elliptic equations
35J60 Nonlinear elliptic equations
49R05 Variational methods for eigenvalues of operators
Full Text: DOI


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