Lower Bounds for the Principal Eigenvalue of the p-Laplacian on the Unit Ball

DOI10.1080/01630563.2018.1485043zbMath1416.35122OpenAlexW2895070239MaRDI QIDQ4632335

Publication date: 29 April 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2018.1485043

zbMATH Keywords

eigenvalue problem $p$-Laplacian sub-super solution estimates for the principal eigenvalue

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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The second eigenfunction of the $p$-Laplacian on the disk is not radial
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The $\infty$-eigenvalue problem
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Semi-stable and extremal solutions of reaction equations involving the $p$-Laplacian
Asymptotics for the principal eigenvalue of the $p$-Laplacian on the ball as $p$ approaches 1
Pointwise Lower Bounds for Solutions of Semilinear Elliptic Equations and Applications
Convergence of Inverse Power Method for First Eigenvalue of p-Laplace Operator
Estimates on Pull-In Distances in Microelectromechanical Systems Models and Other Nonlinear Eigenvalue Problems
On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
Some results concerning the eigenvalue problem for the p-Laplacian
On the Partial Differential Equations of Electrostatic MEMS Devices: Stationary Case
On an Emden-Fowler type equation
Quasilinear problems with exponential growth in the reaction term
Numerical approximation of the first eigenpair of thep-laplacian using finite elements and the penalty method
Pointwise bounds for positive supersolutions of nonlinear elliptic problems involving the $p$-Laplacian and application
Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators
Touchdown and Pull-In Voltage Behavior of a MEMS Device with Varying Dielectric Properties

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