Optimal estimates from below for Green functions of higher order elliptic operators with variable leading coefficients

DOI10.1007/s00013-021-01597-xzbMath1473.35187OpenAlexW3139734718MaRDI QIDQ2040295

Hans-Christoph Grunau

Publication date: 13 July 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-021-01597-x

zbMATH Keywords

Dirichlet problempolyharmonic operatorGreen function estimatesalmost positivitypowers of second order operators

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Fundamental solutions to PDEs (35A08) Comparison principles in context of PDEs (35B51)

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Cites Work

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• Optimal estimates from below for biharmonic Green functions
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Positivity for Perturbations of Polyharmonic Operators with Dirichlet Boundary Conditions in Two Dimensions
• Separating positivity and regularity for fourth order Dirichlet problems in 2d-domains

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