A maximum principle for a fourth-order Dirichlet problem on smooth domains

DOI10.2140/PAA.2020.2.685zbMath1467.35074OpenAlexW3102906007MaRDI QIDQ2020199

Inka Schnieders, Guido Sweers

Publication date: 23 April 2021

Published in: Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/paa.2020.2.685

zbMATH Keywords

positivity-preservingpositive eigenfunctionconverse of the Krein-Rutman Theoremweighted Dirichlet bilaplace problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Maximum principles in context of PDEs (35B50) Positive linear operators and order-bounded operators (47B65)

Related Items (1)

An operator theoretic approach to uniform (anti-)maximum principles

Cites Work

• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• A biharmonic converse to Krein-Rutman: a maximum principle near a positive eigenfunction
• The clamped-plate equation for the Limac con
• A partial differential equation arising in conformal mapping
• Generic Simplicity of the Spectrum and Stabilization for a Plate Equation
• Optimal estimates from below for biharmonic Green functions
• A remark on the unique continuation theorem for certain fourth order elliptic equations
• Genericity of Simple Eigenvalues for Elliptic PDE's
• Elliptic Partial Differential Equations of Second Order
• On a Question of Hadamard Concerning Super‐Biharmonic Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A maximum principle for a fourth-order Dirichlet problem on smooth domains