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On a Formula for All Sets of Constant Width in 3D

The Journal of geometric analysis, 2024-07, Vol.34 (7), Article 197

2024

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Differences between fundamental solutions of general higher order elliptic operators and of products of second order operators

Mathematische annalen, 2021-12, Vol.381 (3-4), p.1031-1084

2021

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A biharmonic converse to Krein–Rutman: a maximum principle near a positive eigenfunction

Positivity : an international journal devoted to the theory and applications of positivity in analysis, 2020-07, Vol.24 (3), p.677-710

2020

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HOPF'S BOUNDARY TYPE BEHAVIOR FOR AN INTERFACE PROBLEM

대한수학회지, 2017, 54(1), , pp.249-265

2017

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Classical solutions up to the boundary to some higher order semilinear Dirichlet problems

Nonlinear analysis, 2021-06, Vol.207, p.112265, Article 112265

2021

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Note on a sign-dependent regularity for the polyharmonic Dirichlet problem

Journal of Differential Equations, 2021-04, Vol.279, p.1-9

2021

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Correction to: An elementary proof that the triharmonic Green function of an eccentric ellipse changes sign

Archiv der Mathematik, 2019-02, Vol.112 (2), p.223-224

Sweers, Guido

2019

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Polyharmonic Boundary Value Problems: Positivity Preserving and Nonlinear Higher Order Elliptic Equations in Bounded Domains

1, 2010

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Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems

Journal of Differential Equations, 2004-10, Vol.205 (2), p.466-487

2004

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An elementary proof that the triharmonic Green function of an eccentric ellipse changes sign

Archiv der Mathematik, 2016-07, Vol.107 (1), p.59-62

Sweers, Guido

2016

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Positivity for a Hinged Convex Plate with Stress

SIAM journal on mathematical analysis, 2018-01, Vol.50 (1), p.1163-1174

2018

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Nondegeneracy of solutions for a class of cooperative systems on $ \mathbb{R}^n

Communications on pure and applied analysis, 2021, Vol.20 (12), p.4177

2021

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On a formula for sets of constant width in 2d

Communications on pure and applied analysis, 2019-07, Vol.18 (4), p.2117-2131

2019

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On Sign Preservation for Clotheslines, Curtain Rods, Elastic Membranes and Thin Plates

Jahresbericht der Deutschen Mathematiker-Vereinigung, 2016-12, Vol.118 (4), p.275-320

Sweers, Guido

2016

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Optimal estimates from below for biharmonic Green functions

Proceedings of the American Mathematical Society, 2011-06, Vol.139 (6), p.2151-2161

2011

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Optimal Sobolev and Hardy–Rellich constants under Navier boundary conditions

Annali di matematica pura ed applicata, 2010-07, Vol.189 (3), p.475-486

2010

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

Pure and applied analysis, 2020-11, Vol.2 (3), p.685-702

2020

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A solution between sub- and supersolutions for semilinear elliptic equations with a nonlocal term in a continuous setting

Communications on pure and applied analysis, 2023-04, Vol.22 (4), p.1420-1428

2023

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Pointwise behaviour of the solution of the Poisson problem near conical points

Nonlinear analysis, 2015-07, Vol.121, p.173-187

2015

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Korn Inequalities for a Reinforced Plate

Journal of elasticity, 2012, Vol.106 (1), p.43-69

2012

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Positivity for the Navier bilaplace, an anti-eigenvalue and an expected lifetime

Discrete and continuous dynamical systems. Series S, 2014-08, Vol.7 (4), p.839-855

Sweers, Guido

2014

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A survey on boundary conditions for the biharmonic

Complex variables and elliptic equations, 2009-02, Vol.54 (2), p.79-93

Sweers, Guido

2009

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Comparing variational methods for the hinged Kirchhoff plate with corners

Mathematische Nachrichten, 2019-12, Vol.292 (12), p.2574-2601

2019

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On Positivity for the Biharmonic Operator under Steklov Boundary Conditions

Archive for rational mechanics and analysis, 2008-06, Vol.188 (3), p.399-427

2008

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Bilaplace Eigenfunctions Compared with Laplace Eigenfunctions in Some Special Cases

Positivity and Noncommutative Analysis, 2019, p.537-561

2019

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On a Formula for All Sets of Constant Width in 3D

Differences between fundamental solutions of general higher order elliptic operators and of products of second order operators

A biharmonic converse to Krein–Rutman: a maximum principle near a positive eigenfunction

HOPF'S BOUNDARY TYPE BEHAVIOR FOR AN INTERFACE PROBLEM

Classical solutions up to the boundary to some higher order semilinear Dirichlet problems

Note on a sign-dependent regularity for the polyharmonic Dirichlet problem

Correction to: An elementary proof that the triharmonic Green function of an eccentric ellipse changes sign

Polyharmonic Boundary Value Problems: Positivity Preserving and Nonlinear Higher Order Elliptic Equations in Bounded Domains

Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems

An elementary proof that the triharmonic Green function of an eccentric ellipse changes sign

Positivity for a Hinged Convex Plate with Stress

Nondegeneracy of solutions for a class of cooperative systems on $ \mathbb{R}^n

On a formula for sets of constant width in 2d

On Sign Preservation for Clotheslines, Curtain Rods, Elastic Membranes and Thin Plates

Optimal estimates from below for biharmonic Green functions

Optimal Sobolev and Hardy–Rellich constants under Navier boundary conditions

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

A solution between sub- and supersolutions for semilinear elliptic equations with a nonlocal term in a continuous setting

Pointwise behaviour of the solution of the Poisson problem near conical points

Korn Inequalities for a Reinforced Plate

Positivity for the Navier bilaplace, an anti-eigenvalue and an expected lifetime

A survey on boundary conditions for the biharmonic

Comparing variational methods for the hinged Kirchhoff plate with corners

On Positivity for the Biharmonic Operator under Steklov Boundary Conditions

Bilaplace Eigenfunctions Compared with Laplace Eigenfunctions in Some Special Cases

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