Nodal properties of eigenfunctions of a generalized buckling problem on balls
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Publication:891937
DOI10.1007/s11117-015-0331-yzbMath1338.35312arXiv1408.6180OpenAlexW2040698483MaRDI QIDQ891937
Serge Nicaise, Christophe Troestler, Colette De Coster
Publication date: 18 November 2015
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.6180
Smoothness and regularity of solutions to PDEs (35B65) Bifurcation and buckling (74G60) Estimates of eigenvalues in context of PDEs (35P15) Solutions to PDEs in closed form (35C05) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (3)
Spectral analysis of a generalized buckling problem on a ball ⋮ Qualitative analysis of a curvature equation modelling MEMS with vertical loads ⋮ The buckling eigenvalue problem in the annulus
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Cites Work
- An isoperimetric inequality for fundamental tones of free plates
- Sign-preserving property for some fourth-order elliptic operators in one dimension or in radial symmetry
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- A theorem on elliptic differential inequalities with an application to gradient bounds
- On the fundamental eigenfunctions of a clamped punctured disk
- A numerical existence proof of nodal lines for the first eigenfunction of the plate equation
- Spherical harmonics
- Sequential Buckling: A Variational Analysis
- A numerical investigation of the solution of a class of fourth–order eigenvalue problems
- Vibrational modes of circular free plates under tension
- On the Structure of Solutions $\Delta ^2 u = \lambda u$ Which Satisfy the Clamped Plate Conditions on a Right Angle
- Positivity for Perturbations of Polyharmonic Operators with Dirichlet Boundary Conditions in Two Dimensions
- On the interlacing of cylinder functions
- Buckling Eigenvalues for a Clamped Plate Embedded in an Elastic Medium and Related Questions
- Positivity, change of sign and buckling eigenvalues in a one-dimensional fourth order model problem
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