The clamped-plate equation for the Limac con

DOI10.1007/s10231-004-0121-9zbMath1223.35145OpenAlexW2051897250MaRDI QIDQ2504746

Guido Sweers, Anna Dall'Acqua

Publication date: 28 September 2006

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-004-0121-9

zbMATH Keywords

positivitynonconvexbiharmonicclamped plate

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Maximum principles in context of PDEs (35B50) PDEs in connection with mechanics of deformable solids (35Q74) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (13)

Regions of positivity for polyharmonic Green functions in arbitrary domains ⋮ Positivity preserving property for a class of biharmonic elliptic problems ⋮ On sign preservation for clotheslines, curtain rods, elastic membranes and thin plates ⋮ Fractional Laplacians on ellipsoids ⋮ Unstable Willmore surfaces of revolution subject to natural boundary conditions ⋮ Singular limits in higher order Liouville-type equations ⋮ A biharmonic converse to Krein-Rutman: a maximum principle near a positive eigenfunction ⋮ A clamped plate with a uniform weight may change sign ⋮ On positivity for the biharmonic operator under Steklov boundary conditions ⋮ Optimal estimates from below for biharmonic Green functions ⋮ Eventually positive semigroups of linear operators ⋮ A maximum principle for a fourth-order Dirichlet problem on smooth domains ⋮ On solutions of second and fourth order elliptic equations with power-type nonlinearities

Cites Work

• Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions
• Sign change for the Green function and for the first eigenfunction of equations of clamped-plate type
• A partial differential equation arising in conformal mapping
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Sharp estimates for iterated Green functions
• Positivity for Perturbations of Polyharmonic Operators with Dirichlet Boundary Conditions in Two Dimensions
• Note on the bending of thin uniformly loaded Plates bounded by Cardioids, Lemniscates and certain other Quartic Curves
• On a Question of Hadamard Concerning Super‐Biharmonic Functions
• On Membranes and Plates

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