Estimation of Green's function on piecewise Dini-smooth bounded Jordan domains

• Autorzy: Mohamed Amine Ben Boubaker , Mohamed Selmi
• Języki publikacji: EN

Abstrakty

EN

We establish inequalities for Green functions on general bounded piecewise Dini-smooth Jordan domains in ℝ². This enables us to prove a new version of the 3G Theorem which generalizes its previous version given in [M. Selmi, Potential Anal. 13 (2000)]. Using these results, we give a comparison theorem for the Green kernel of Δ and the Green kernel of Δ - μ, where μ is a nonnegative and exact Radon measure.

Kategorie tematyczne

• 31A35: Connections with differential equations
• 81Q15: Perturbation theories for operators and differential equations
• 30C35: General theory of conformal mappings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 133
• Numer: 1
• Strony: 1-22

Daty

wydano

2013

Twórcy

autor

Mohamed Amine Ben Boubaker

• Institut Preparatoire aux Études d'Ingénieur de Nabeul, Université de Carthage, Campus Universitaire Merezka, 8000, Nabeul, Tunisia

autor

Mohamed Selmi

• Faculty of Sciences of Tunis, Department of Mathematics, University of Tunis el Manar, Campus Universitaire, 2092, Tunis, Tunisia

Identyfikatory

DOI

10.4064/cm133-1-1